How to find the perimeter of a rectangle - PSAT Math
Card 1 of 35
A rectangular garden has an area of 
. Its length is 
meters longer than its width. How much fencing is needed to enclose the garden?
A rectangular garden has an area of
Tap to reveal answer
We define the variables as 
and 
.
We substitute these values into the equation for the area of a rectangle and get 
.
or 
Lengths cannot be negative, so the only correct answer is 
. If 
, then 
.
Therefore, 
.
We define the variables as
We substitute these values into the equation for the area of a rectangle and get
Lengths cannot be negative, so the only correct answer is
Therefore,
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A rectangle has a width of 2_x_. If the length is five more than 150% of the width, what is the perimeter of the rectangle?
A rectangle has a width of 2_x_. If the length is five more than 150% of the width, what is the perimeter of the rectangle?
Tap to reveal answer
Given that w = 2_x_ and l = 1.5_w_ + 5, a substitution will show that l = 1.5(2_x_) + 5 = 3_x_ + 5.
P = 2_w_ + 2_l_ = 2(2_x_) + 2(3_x_ + 5) = 4_x_ + 6_x_ + 10 = 10_x_ + 10 = 10(x + 1)
Given that w = 2_x_ and l = 1.5_w_ + 5, a substitution will show that l = 1.5(2_x_) + 5 = 3_x_ + 5.
P = 2_w_ + 2_l_ = 2(2_x_) + 2(3_x_ + 5) = 4_x_ + 6_x_ + 10 = 10_x_ + 10 = 10(x + 1)
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Note: Figure NOT drawn to scale
Refer to the above figure, which shows a square garden (in green) surrounded by a dirt path (in orange) eight feet wide throughout. What is the perimeter of the garden?
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a square garden (in green) surrounded by a dirt path (in orange) eight feet wide throughout. What is the perimeter of the garden?
Tap to reveal answer
The inner square, which represents the garden, has sidelength 
feet, so its perimeter is four times this:
feet.
The inner square, which represents the garden, has sidelength
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Note: Figure NOT drawn to scale
Refer to the above figure, which shows a rectangular garden (in green) surrounded by a dirt path (in orange). The dirt path is seven feet wide throughout. Which of the following polynomials gives the perimeter of the garden in feet?
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a rectangular garden (in green) surrounded by a dirt path (in orange). The dirt path is seven feet wide throughout. Which of the following polynomials gives the perimeter of the garden in feet?
Tap to reveal answer
The length of the garden, in feet, is 
feet less than that of the entire lot, or
;
The width of the garden, in feet, is 
less than that of the entire lot, or
.
The perimeter, in feet, is twice the sum of the two:
The length of the garden, in feet, is
The width of the garden, in feet, is
The perimeter, in feet, is twice the sum of the two:
← Didn't Know|Knew It →
Farmer Dave has a rectangular field that is 50 yards wide and 40 yards long. He wants to enclose the field with a wire fence. How much wire does Farmer Dave need?
Farmer Dave has a rectangular field that is 50 yards wide and 40 yards long. He wants to enclose the field with a wire fence. How much wire does Farmer Dave need?
Tap to reveal answer
To solve this problem, find the perimeter of the rectangle. There are two sides that each measure 50 yards and two sides that each measure 40 yards. Together these four sides measure 180 yards.
To solve this problem, find the perimeter of the rectangle. There are two sides that each measure 50 yards and two sides that each measure 40 yards. Together these four sides measure 180 yards.
← Didn't Know|Knew It →
A rectangular garden has an area of . Its length is meters longer than its width. How much fencing is needed to enclose the garden?
A rectangular garden has an area of
Tap to reveal answer
We define the variables as and .
We substitute these values into the equation for the area of a rectangle and get .
or
Lengths cannot be negative, so the only correct answer is . If , then .
Therefore, .
We define the variables as
We substitute these values into the equation for the area of a rectangle and get
Lengths cannot be negative, so the only correct answer is
Therefore,
← Didn't Know|Knew It →
A rectangle has a width of 2_x_. If the length is five more than 150% of the width, what is the perimeter of the rectangle?
A rectangle has a width of 2_x_. If the length is five more than 150% of the width, what is the perimeter of the rectangle?
Tap to reveal answer
Given that w = 2_x_ and l = 1.5_w_ + 5, a substitution will show that l = 1.5(2_x_) + 5 = 3_x_ + 5.
P = 2_w_ + 2_l_ = 2(2_x_) + 2(3_x_ + 5) = 4_x_ + 6_x_ + 10 = 10_x_ + 10 = 10(x + 1)
Given that w = 2_x_ and l = 1.5_w_ + 5, a substitution will show that l = 1.5(2_x_) + 5 = 3_x_ + 5.
P = 2_w_ + 2_l_ = 2(2_x_) + 2(3_x_ + 5) = 4_x_ + 6_x_ + 10 = 10_x_ + 10 = 10(x + 1)
← Didn't Know|Knew It →
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a square garden (in green) surrounded by a dirt path (in orange) eight feet wide throughout. What is the perimeter of the garden?
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a square garden (in green) surrounded by a dirt path (in orange) eight feet wide throughout. What is the perimeter of the garden?
Tap to reveal answer
The inner square, which represents the garden, has sidelength feet, so its perimeter is four times this:
feet.
The inner square, which represents the garden, has sidelength
← Didn't Know|Knew It →
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a rectangular garden (in green) surrounded by a dirt path (in orange). The dirt path is seven feet wide throughout. Which of the following polynomials gives the perimeter of the garden in feet?
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a rectangular garden (in green) surrounded by a dirt path (in orange). The dirt path is seven feet wide throughout. Which of the following polynomials gives the perimeter of the garden in feet?
Tap to reveal answer
The length of the garden, in feet, is feet less than that of the entire lot, or
;
The width of the garden, in feet, is less than that of the entire lot, or
.
The perimeter, in feet, is twice the sum of the two:
The length of the garden, in feet, is
The width of the garden, in feet, is
The perimeter, in feet, is twice the sum of the two:
← Didn't Know|Knew It →
Farmer Dave has a rectangular field that is 50 yards wide and 40 yards long. He wants to enclose the field with a wire fence. How much wire does Farmer Dave need?
Farmer Dave has a rectangular field that is 50 yards wide and 40 yards long. He wants to enclose the field with a wire fence. How much wire does Farmer Dave need?
Tap to reveal answer
To solve this problem, find the perimeter of the rectangle. There are two sides that each measure 50 yards and two sides that each measure 40 yards. Together these four sides measure 180 yards.
To solve this problem, find the perimeter of the rectangle. There are two sides that each measure 50 yards and two sides that each measure 40 yards. Together these four sides measure 180 yards.
← Didn't Know|Knew It →
A rectangular garden has an area of . Its length is meters longer than its width. How much fencing is needed to enclose the garden?
A rectangular garden has an area of
Tap to reveal answer
We define the variables as and .
We substitute these values into the equation for the area of a rectangle and get .
or
Lengths cannot be negative, so the only correct answer is . If , then .
Therefore, .
We define the variables as
We substitute these values into the equation for the area of a rectangle and get
Lengths cannot be negative, so the only correct answer is
Therefore,
← Didn't Know|Knew It →
A rectangle has a width of 2_x_. If the length is five more than 150% of the width, what is the perimeter of the rectangle?
A rectangle has a width of 2_x_. If the length is five more than 150% of the width, what is the perimeter of the rectangle?
Tap to reveal answer
Given that w = 2_x_ and l = 1.5_w_ + 5, a substitution will show that l = 1.5(2_x_) + 5 = 3_x_ + 5.
P = 2_w_ + 2_l_ = 2(2_x_) + 2(3_x_ + 5) = 4_x_ + 6_x_ + 10 = 10_x_ + 10 = 10(x + 1)
Given that w = 2_x_ and l = 1.5_w_ + 5, a substitution will show that l = 1.5(2_x_) + 5 = 3_x_ + 5.
P = 2_w_ + 2_l_ = 2(2_x_) + 2(3_x_ + 5) = 4_x_ + 6_x_ + 10 = 10_x_ + 10 = 10(x + 1)
← Didn't Know|Knew It →
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a square garden (in green) surrounded by a dirt path (in orange) eight feet wide throughout. What is the perimeter of the garden?
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a square garden (in green) surrounded by a dirt path (in orange) eight feet wide throughout. What is the perimeter of the garden?
Tap to reveal answer
The inner square, which represents the garden, has sidelength feet, so its perimeter is four times this:
feet.
The inner square, which represents the garden, has sidelength
← Didn't Know|Knew It →
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a rectangular garden (in green) surrounded by a dirt path (in orange). The dirt path is seven feet wide throughout. Which of the following polynomials gives the perimeter of the garden in feet?
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a rectangular garden (in green) surrounded by a dirt path (in orange). The dirt path is seven feet wide throughout. Which of the following polynomials gives the perimeter of the garden in feet?
Tap to reveal answer
The length of the garden, in feet, is feet less than that of the entire lot, or
;
The width of the garden, in feet, is less than that of the entire lot, or
.
The perimeter, in feet, is twice the sum of the two:
The length of the garden, in feet, is
The width of the garden, in feet, is
The perimeter, in feet, is twice the sum of the two:
← Didn't Know|Knew It →
Farmer Dave has a rectangular field that is 50 yards wide and 40 yards long. He wants to enclose the field with a wire fence. How much wire does Farmer Dave need?
Farmer Dave has a rectangular field that is 50 yards wide and 40 yards long. He wants to enclose the field with a wire fence. How much wire does Farmer Dave need?
Tap to reveal answer
To solve this problem, find the perimeter of the rectangle. There are two sides that each measure 50 yards and two sides that each measure 40 yards. Together these four sides measure 180 yards.
To solve this problem, find the perimeter of the rectangle. There are two sides that each measure 50 yards and two sides that each measure 40 yards. Together these four sides measure 180 yards.
← Didn't Know|Knew It →
A rectangular garden has an area of . Its length is meters longer than its width. How much fencing is needed to enclose the garden?
A rectangular garden has an area of
Tap to reveal answer
We define the variables as and .
We substitute these values into the equation for the area of a rectangle and get .
or
Lengths cannot be negative, so the only correct answer is . If , then .
Therefore, .
We define the variables as
We substitute these values into the equation for the area of a rectangle and get
Lengths cannot be negative, so the only correct answer is
Therefore,
← Didn't Know|Knew It →
A rectangle has a width of 2_x_. If the length is five more than 150% of the width, what is the perimeter of the rectangle?
A rectangle has a width of 2_x_. If the length is five more than 150% of the width, what is the perimeter of the rectangle?
Tap to reveal answer
Given that w = 2_x_ and l = 1.5_w_ + 5, a substitution will show that l = 1.5(2_x_) + 5 = 3_x_ + 5.
P = 2_w_ + 2_l_ = 2(2_x_) + 2(3_x_ + 5) = 4_x_ + 6_x_ + 10 = 10_x_ + 10 = 10(x + 1)
Given that w = 2_x_ and l = 1.5_w_ + 5, a substitution will show that l = 1.5(2_x_) + 5 = 3_x_ + 5.
P = 2_w_ + 2_l_ = 2(2_x_) + 2(3_x_ + 5) = 4_x_ + 6_x_ + 10 = 10_x_ + 10 = 10(x + 1)
← Didn't Know|Knew It →
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a square garden (in green) surrounded by a dirt path (in orange) eight feet wide throughout. What is the perimeter of the garden?
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a square garden (in green) surrounded by a dirt path (in orange) eight feet wide throughout. What is the perimeter of the garden?
Tap to reveal answer
The inner square, which represents the garden, has sidelength feet, so its perimeter is four times this:
feet.
The inner square, which represents the garden, has sidelength
← Didn't Know|Knew It →
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a rectangular garden (in green) surrounded by a dirt path (in orange). The dirt path is seven feet wide throughout. Which of the following polynomials gives the perimeter of the garden in feet?
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a rectangular garden (in green) surrounded by a dirt path (in orange). The dirt path is seven feet wide throughout. Which of the following polynomials gives the perimeter of the garden in feet?
Tap to reveal answer
The length of the garden, in feet, is feet less than that of the entire lot, or
;
The width of the garden, in feet, is less than that of the entire lot, or
.
The perimeter, in feet, is twice the sum of the two:
The length of the garden, in feet, is
The width of the garden, in feet, is
The perimeter, in feet, is twice the sum of the two:
← Didn't Know|Knew It →
Farmer Dave has a rectangular field that is 50 yards wide and 40 yards long. He wants to enclose the field with a wire fence. How much wire does Farmer Dave need?
Farmer Dave has a rectangular field that is 50 yards wide and 40 yards long. He wants to enclose the field with a wire fence. How much wire does Farmer Dave need?
Tap to reveal answer
To solve this problem, find the perimeter of the rectangle. There are two sides that each measure 50 yards and two sides that each measure 40 yards. Together these four sides measure 180 yards.
To solve this problem, find the perimeter of the rectangle. There are two sides that each measure 50 yards and two sides that each measure 40 yards. Together these four sides measure 180 yards.
← Didn't Know|Knew It →