ISEE Lower Level Quantitative : Rectangles

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #8 : Find Perimeter Or Missing Side Lengths Of Polygons: Ccss.Math.Content.3.Md.D.8

What is the perimeter of the rectangle below? 

Screen shot 2015 09 29 at 8.26.39 am

Possible Answers:

\(\displaystyle 39in\)

\(\displaystyle 40in\)

\(\displaystyle 41in\)

\(\displaystyle 36in\)

\(\displaystyle 38in\)

Correct answer:

\(\displaystyle 40in\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(12+8)\)

\(\displaystyle P=2(20)\)

\(\displaystyle P=40\)

Example Question #9 : Find Perimeter Or Missing Side Lengths Of Polygons: Ccss.Math.Content.3.Md.D.8

What is the perimeter of the rectangle below? 


Screen shot 2015 09 29 at 8.16.34 am

Possible Answers:

\(\displaystyle 37in\)

\(\displaystyle 35in\)

\(\displaystyle 34in\)

\(\displaystyle 38in\)

\(\displaystyle 36in\)

Correct answer:

\(\displaystyle 36in\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(10+8)\)

\(\displaystyle P=2(18)\)

\(\displaystyle P=36\)

Example Question #11 : Find Perimeter Or Missing Side Lengths Of Polygons: Ccss.Math.Content.3.Md.D.8

What is the perimeter of the rectangle below? 

Screen shot 2015 09 29 at 8.15.51 am

Possible Answers:

\(\displaystyle 24in\)

\(\displaystyle 25in\)

\(\displaystyle 27in\)

\(\displaystyle 28in\)

\(\displaystyle 26in\)

Correct answer:

\(\displaystyle 24in\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(10+2)\)

\(\displaystyle P=2(12)\)

\(\displaystyle P=24\)

Example Question #12 : Find Perimeter Or Missing Side Lengths Of Polygons: Ccss.Math.Content.3.Md.D.8

What is the perimeter of the rectangle below? 

Screen shot 2015 09 29 at 8.15.23 am

Possible Answers:

\(\displaystyle 5in\)

\(\displaystyle 10in\)

\(\displaystyle 7in\)

\(\displaystyle 8in\)

\(\displaystyle 4in\)

Correct answer:

\(\displaystyle 10in\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(3+2)\)

\(\displaystyle P=2(5)\)

\(\displaystyle P=10\)

Example Question #13 : Find Perimeter Or Missing Side Lengths Of Polygons: Ccss.Math.Content.3.Md.D.8

Mark is going to retile his bathroom floor. His bathroom is \(\displaystyle 3\) meters long and \(\displaystyle 2\) meters wide. What is the perimeter of his bathroom? 

Possible Answers:

\(\displaystyle 6m\)

\(\displaystyle 8m\)

\(\displaystyle 7m\)

\(\displaystyle 9m\)

\(\displaystyle 10m\)

Correct answer:

\(\displaystyle 10m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(3+2)\)

\(\displaystyle P=2(5)\)

\(\displaystyle P=10\)

Example Question #1824 : Common Core Math: Grade 3

Emily is digging a garden in her backyard that is \(\displaystyle 6\) meters long and \(\displaystyle 4\) meters wide. What is the perimeter of her garden? 

Possible Answers:

\(\displaystyle 20m\)

\(\displaystyle 24m\)

\(\displaystyle 21m\)

\(\displaystyle 23m\)

\(\displaystyle 22m\)

Correct answer:

\(\displaystyle 20m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(6+4)\)

\(\displaystyle P=2(10)\)

\(\displaystyle P=20\)

Example Question #485 : Plane Geometry

Megan is going to replace the carpet in her living room. Her living room is \(\displaystyle 6\) meters long and \(\displaystyle 5\) meters wide. What is the perimeter of her living room?

Possible Answers:

\(\displaystyle 25m\)

\(\displaystyle 23m\)

\(\displaystyle 22m\)

\(\displaystyle 21m\)

\(\displaystyle 24m\)

Correct answer:

\(\displaystyle 22m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(6+5)\)

\(\displaystyle P=2(11)\)

\(\displaystyle P=22\)

Example Question #1825 : Common Core Math: Grade 3

Nancy is going to replace the carpet in her living room. Her living room is \(\displaystyle 7\) meters long and \(\displaystyle 5\) meters wide. What is the perimeter of her living room?

Possible Answers:

\(\displaystyle 21m\)

\(\displaystyle 22m\)

\(\displaystyle 23m\)

\(\displaystyle 25m\)

\(\displaystyle 24m\)

Correct answer:

\(\displaystyle 24m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(7+5)\)

\(\displaystyle P=2(12)\)

\(\displaystyle P=24\)

Example Question #14 : Find Perimeter Or Missing Side Lengths Of Polygons: Ccss.Math.Content.3.Md.D.8

Justin just moved into a new house with a fenced in yard. The fence is \(\displaystyle 9\) meters long and \(\displaystyle 6\) meters wide. What is the perimeter of his yard? 

Possible Answers:

\(\displaystyle 32m\)

\(\displaystyle 29m\)

\(\displaystyle 28m\)

\(\displaystyle 30m\)

\(\displaystyle 31m\)

Correct answer:

\(\displaystyle 30m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(9+6)\)

\(\displaystyle P=2(15)\)

\(\displaystyle P=30\)

Example Question #15 : Find Perimeter Or Missing Side Lengths Of Polygons: Ccss.Math.Content.3.Md.D.8

There is a park in Hank's new neighborhood that is \(\displaystyle 10\) meters long and \(\displaystyle 12\) meters wide. What is the perimeter of the park? 

Possible Answers:

\(\displaystyle 48m\)

\(\displaystyle 45m\)

\(\displaystyle 47m\)

\(\displaystyle 46m\)

\(\displaystyle 44m\)

Correct answer:

\(\displaystyle 44m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(12+10)\)

\(\displaystyle P=2(22)\)

\(\displaystyle P=44\)

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