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ISEE Lower Level Math : How to find the area of a rectangle

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Example Question #44 : Plane Geometry

Isee rect.

Find the area of the rectangle shown above.

Possible Answers:

Correct answer:

Explanation:

In this problem you are given the width and perimeter of the rectangle. However, to solve for the area of the rectangle you must first find the length of the rectangle. To do so, work backwards using the formula:

Perimeter=2(W+L)

24=2(7+L)

24=14+2L

2L=24-14=10

$L=\frac{10}{2}=5$

Now that you know the width and length of the rectangle, apply the area formula:

$Area=Width\times Length$

$Area=7\times 5= 35$

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Example Question #45 : Plane Geometry

A rectangle has a width of and a perimeter measurement of . Find the area of the rectangle.

Possible Answers:

126

Correct answer:

Explanation:

In this problem you are given the width and perimeter of the rectangle. However, to solve for the area of the rectangle you must first find the length of the rectangle. To do so, work backwards using the formula:

Perimeter=2(W+L)

32=2(9+L)

32=18+2L

2L=32-18=14

$L=\frac{14}{2}=7$

Now that you know the width and length of the rectangle, apply the area formula:

$Area=Width\times Length$

$Area=9\times 7= 63$

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Example Question #41 : Quadrilaterals

Isee rect.

Find the area of the rectangle shown above.

Possible Answers:

19.5

Correct answer:

Explanation:

To find the area of a rectangle apply the formula:

$Area= Width\times Length$

The image provides the measurements for both the width and length of the rectangle.

Thus, the solution is:

$Area=6.5\times4=26$

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Example Question #47 : Plane Geometry

A rectangle has a width of 8.5 and a length of . Find the area of the rectangle.

Possible Answers:

32.5

35.5

Correct answer:

Explanation:

To find the area of a rectangle apply the formula:

$Area= Width\times Length$

This problem provides the measurements for both the width and length of the rectangle.

Thus, the solution is:

$Area=8.5\times4=34$

If the arithmetic is giving you trouble note that:

$8\times 4 = 32$

$0.5=\frac{1}{2}$

$\frac{1}{2}\times4=\frac{4}{2}=2$

The sum total of the partial products is:

32+2=34

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Example Question #48 : Plane Geometry

A rectangle has a width of $\frac{3}{4}$ foot and a length of $\frac{1}{2}$ foot. Find the area of the rectangle.

Possible Answers:

27in^2

127in^2

4ft^2

54in^2

5.5ft^2

Correct answer:

54in^2

Explanation:

To find the area of a rectangle apply the formula:

$Area= Width\times Length$

This problem provides the measurements for both the width and length of the rectangle. However, to select the correct answer it's necessary to convert the width and length measurements from feet to inches.

Since an inch is equal to $\frac{1}{12}$ of foot, the width and length conversions are:

$\frac{3}{4}=\frac{3}{4}\times \frac{3}{3}=\frac{9}{12}=9 in.$

$\frac{1}{2}=\frac{1}{2}\times \frac{6}{6}=\frac{6}{12}=6in.$

Thus, the solution is:

$Area=9\times6=54in^2$

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Example Question #49 : Plane Geometry

A rectangle has a width of and a perimeter measurement of . Find the area of the rectangle.

Possible Answers:

Correct answer:

Explanation:

In this problem you are given the width and perimeter of the rectangle. However, to solve for the area of the rectangle you must first find the length of the rectangle. To do so, work backwards using the formula:

Perimeter=2(W+L)

34=2(9+L)

34=18+2L

2L=34-18=16

$L=\frac{16}{2}=8$

Now that you know the width and length of the rectangle, apply the area formula:

$Area=Width\times Length$

$Area=9\times 8= 72$

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Example Question #50 : Plane Geometry

A rectangle has a width of and a length of . Find the area of the rectangle.

Possible Answers:

200

175

225

250

150

Correct answer:

200

Explanation:

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Example Question #31 : Rectangles

Find the area of a rectangle whose width is and length is .

Possible Answers:

Correct answer:

Explanation:

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

A=w*l=2*4=8

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Example Question #32 : Rectangles

Find the area of a rectanlge whose length is and width is .

Possible Answers:

Correct answer:

Explanation:

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

A=l*w=5*8=40

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Example Question #33 : Rectangles

A garden is 7 by 5 in size and you need to know how much fence is needed to surround it. What is the perimeter?

Possible Answers:

Correct answer:

Explanation:

The perimeter is all four sides added together so you have two sides that are and two that are . So the answer would be 7+7+5+5=24 .

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ISEE Lower Level Math : How to find the area of a rectangle

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #44 : Plane Geometry

Example Question #45 : Plane Geometry

Example Question #41 : Quadrilaterals

Example Question #47 : Plane Geometry

Example Question #48 : Plane Geometry

Example Question #49 : Plane Geometry

Example Question #50 : Plane Geometry

Example Question #31 : Rectangles

Example Question #32 : Rectangles

Example Question #33 : Rectangles

All ISEE Lower Level Math Resources

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