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ISEE Lower Level Math : Quadrilaterals

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Example Questions

Example Question #91 : Quadrilaterals

Marcell wants to put a new fence around the perimeter of his garden. Marcell's rectangular garden is 30 feet long and 15 feet wide. How many feet of fence does Marcell need?

Possible Answers:

$\dpi{100} 60\ feet$ $\displaystyle \dpi{100} 60\ feet$

$\dpi{100} 90\ feet$ $\displaystyle \dpi{100} 90\ feet$

$\dpi{100} 45\ feet$ $\displaystyle \dpi{100} 45\ feet$

$\dpi{100} 50\ feet$ $\displaystyle \dpi{100} 50\ feet$

Correct answer:

$\dpi{100} 90\ feet$ $\displaystyle \dpi{100} 90\ feet$

Explanation:

$\dpi{100} (30+30)+(15+15)$ $\displaystyle \dpi{100} (30+30)+(15+15)$

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Example Question #92 : Plane Geometry

The length of a rectangle is $\displaystyle 2y$, and the width of the rectangle is x+4 $\displaystyle x+4$. What is the perimeter if y=7 $\displaystyle y=7$ and x=6 $\displaystyle x=6$?

Possible Answers:

$\displaystyle 36$

$\displaystyle 24$

$\displaystyle 42$

$\displaystyle 48$

Correct answer:

$\displaystyle 48$

Explanation:

If the length of a rectangle is $\displaystyle 2y$ and the width is x+4 $\displaystyle x+4$, the perimeter is:

$\displaystyle 2y+2y+x+4+x+4$

$\displaystyle =4y+2x+8$

Now plug in y=7 $\displaystyle y=7$ and x=6 $\displaystyle x=6$:

$=4\cdot7+2\cdot6+8$ $\displaystyle =4\cdot7+2\cdot6+8$

$\displaystyle =28+12+8$

=48 $\displaystyle =48$

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Example Question #92 : Quadrilaterals

If the perimeter of a rectangle is 120 $\displaystyle 120$ inches and its length is twice the value of its width, what is the value of the width of the rectangle in inches?

Possible Answers:

$\displaystyle 20$ inches

$\displaystyle 15$ inches

$\displaystyle 40$ inches

$\displaystyle 60$ inches

Correct answer:

$\displaystyle 20$ inches

Explanation:

If the length of the rectangle is twice the value of its width, then if the width is equal to w, then the length is equal to 2w.

Given that the perimeter of a rectangle is equal to the value of all the sides added together, the following equation would apply:

$\displaystyle w+w+2w+2w=120$

6w=120 $\displaystyle 6w=120$

w=20 $\displaystyle w=20$

This means that the rectangle is $\displaystyle 20$ inches wide.

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Example Question #81 : Rectangles

The area of a rectangle is 600 $\displaystyle 600$. One of its sides is $\displaystyle 15$. What is its perimeter?

Possible Answers:

$\displaystyle 40$

110 $\displaystyle 110$

$\displaystyle 55$

$\displaystyle 78$

100 $\displaystyle 100$

Correct answer:

110 $\displaystyle 110$

Explanation:

Remember that the area of a rectangle is equal to its base times its height. If its area is 600 $\displaystyle 600$ and one side has a length of $\displaystyle 15$, we can find the other side by dividing these:

$Other Side = \frac{600}{15}=40$ $\displaystyle Other Side = \frac{600}{15}=40$

So, our rectangle looks like this:

Untitled_7

The perimeter is easily calculated:

$\displaystyle P = 40+40+15+15=110$

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Example Question #92 : Quadrilaterals

What is the perimeter of the following rectangle?

Untitled_8

Possible Answers:

4563.2 $\displaystyle 4563.2$

9126.4 $\displaystyle 9126.4$

398.6 $\displaystyle 398.6$

199.3

631.1

Correct answer:

398.6 $\displaystyle 398.6$

Explanation:

The perimeter of a rectangle is very easy to solve. Merely add up all the sides:

$\displaystyle P = 128+128+71.3+71.3=398.6$

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Example Question #92 : Quadrilaterals

One of a rectangle's sides has a length of $\displaystyle 40$. Another of its sides is half that length. What is its perimeter?

Possible Answers:

$\displaystyle 60$

120 $\displaystyle 120$

100 $\displaystyle 100$

$\displaystyle 40$

$\displaystyle 80$

Correct answer:

120 $\displaystyle 120$

Explanation:

If one side of the rectangle is $\displaystyle 40$ and the other half of that, then the other side must be:

$\frac{40}{2}=20$ $\displaystyle \frac{40}{2}=20$

Our rectangle therefore looks like this:

Untitled_9

The perimeter is calculated very easily. Just sum up all the sides!

$\displaystyle P = 40+40+20+20=120$

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Example Question #92 : Plane Geometry

Lowerrectperim2

What is the perimeter of the above rectangle?

Possible Answers:

$\displaystyle 16$ ft

$\displaystyle 15$ ft

$\displaystyle 26$ ft

$\displaystyle 30$ ft

$\displaystyle 8$ ft

Correct answer:

$\displaystyle 16$ ft

Explanation:

The perimeter of a rectangle is the length of all the sides added together. This rectangle has two short sides that are each $\displaystyle 3$ feet long and two long sides that are each $\displaystyle 5$ feet long. $\displaystyle 3+3+5+5=16$, so the correct answer is $\displaystyle 16$.

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Example Question #21 : How To Find The Perimeter Of A Rectangle

Find the perimeter of a rectangle whose width is $\displaystyle 5$ and length is $\displaystyle 6$.

Possible Answers:

$\displaystyle 22$

$\displaystyle 30$

$\displaystyle 15$

$\displaystyle 11$

Correct answer:

$\displaystyle 22$

Explanation:

To solve, simply use the formula for the eprimeter of a rectangle. Thus,

$\displaystyle P=2(w+l)=2*(5+6)=2*11=22$

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Example Question #21 : How To Find The Perimeter Of A Rectangle

Find the perimeter of a rectangle whose length is $\displaystyle 2$ and width is $\displaystyle 6$.

Possible Answers:

$\displaystyle 12$

$\displaystyle 6$

$\displaystyle 16$

$\displaystyle 8$

Correct answer:

$\displaystyle 16$

Explanation:

To solve, simply use the formula for the perimeter of a rectangle. Thus,

$\displaystyle P=2(l+w)=2*(6+2)=2*8=16$

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Example Question #23 : How To Find The Perimeter Of A Rectangle

You need to cover your rectangular driveway in blacktop but you need the area to figure out how much material to get. You would just add up all four sides to get our answer. Is this statement true or false?

Possible Answers:

True

False

Correct answer:

False

Explanation:

The area of a rectangle is the length times the width not the sides added togther. That would be the perimeter.

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ISEE Lower Level Math : Quadrilaterals

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #91 : Quadrilaterals

Example Question #92 : Plane Geometry

Example Question #92 : Quadrilaterals

Example Question #81 : Rectangles

Example Question #92 : Quadrilaterals

Example Question #92 : Quadrilaterals

Example Question #92 : Plane Geometry

Example Question #21 : How To Find The Perimeter Of A Rectangle

Example Question #21 : How To Find The Perimeter Of A Rectangle

Example Question #23 : How To Find The Perimeter Of A Rectangle

All ISEE Lower Level Math Resources

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