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

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

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All ISEE Lower Level Quantitative Resources

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Example Questions

Example Question #231 : Quadrilaterals

What could be the dimensions of a rectangle with an area of $36\ cm^{2}$ $\displaystyle 36\ cm^{2}$ ?

Possible Answers:

$3\ cm\times 2\ cm$ $\displaystyle 3\ cm\times 2\ cm$

$10\ cm\times 16\ cm$ $\displaystyle 10\ cm\times 16\ cm$

$8\ cm\times 3\ cm$ $\displaystyle 8\ cm\times 3\ cm$

$9\ cm\times 4\ cm$ $\displaystyle 9\ cm\times 4\ cm$

Correct answer:

$9\ cm\times 4\ cm$ $\displaystyle 9\ cm\times 4\ cm$

Explanation:

Since area is length times width, the answer must equal 36 when multiplied. The only combination is 9cm by 4cm.

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Example Question #2 : How To Find The Area Of A Rectangle

Yard

The above diagram shows a rectangular home within a rectangular yard. What is the area of the yard?

Possible Answers:

$3,200 \textrm{ ft}^{2}$ $\displaystyle 3,200 \textrm{ ft}^{2}$

$32,000 \textrm{ ft}^{2}$ $\displaystyle 32,000 \textrm{ ft}^{2}$

$48,200 \textrm{ ft}^{2}$ $\displaystyle 48,200 \textrm{ ft}^{2}$

$50,000 \textrm{ ft}^{2}$ $\displaystyle 50,000 \textrm{ ft}^{2}$

$42,000 \textrm{ ft}^{2}$ $\displaystyle 42,000 \textrm{ ft}^{2}$

Correct answer:

$48,200 \textrm{ ft}^{2}$ $\displaystyle 48,200 \textrm{ ft}^{2}$

Explanation:

The area of the yard is the area of the smaller rectangle subtracted from that of the larger rectangle. The area of a rectangle is the product of its length and its height, so the larger rectangle has area

$250 \times 200 = 50,000$ $\displaystyle 250 \times 200 = 50,000$ square feet,

and the smaller rectangle has area

$60 \times 30 = 1,800$ $\displaystyle 60 \times 30 = 1,800$ square feet.

Subtract to get the area of the yard:

$\displaystyle 50,000 - 1,800 = 48,200$ square feet.

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Example Question #232 : Quadrilaterals

Swimming_pool

Give the area of the rectangular swimming pool shown above.

Possible Answers:

$3,400 \textrm{ ft}^{2}$ $\displaystyle 3,400 \textrm{ ft}^{2}$

$1,750 \textrm{ ft}^{2}$ $\displaystyle 1,750 \textrm{ ft}^{2}$

$3,500 \textrm{ ft}^{2}$ $\displaystyle 3,500 \textrm{ ft}^{2}$

$1,850 \textrm{ ft}^{2}$ $\displaystyle 1,850 \textrm{ ft}^{2}$

Correct answer:

$1,750 \textrm{ ft}^{2}$ $\displaystyle 1,750 \textrm{ ft}^{2}$

Explanation:

The length and the width of the pool are 50 feet and 35 feet; the area of this rectangle is their product, or

$A = 50 \times 35 = 1,750$ $\displaystyle A = 50 \times 35 = 1,750$ square feet.

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Example Question #1 : How To Find The Area Of A Rectangle

Find the area of the following rectangle.

Possible Answers:

$\displaystyle 18$

$\displaystyle 36$

$\displaystyle 9$

$\displaystyle 80$

Correct answer:

$\displaystyle 80$

Explanation:

The equation for the area of a rectangle is $A=l\times w$ $\displaystyle A=l\times w$

In this case, we have:

$A=10\times 8=80$ $\displaystyle A=10\times 8=80$

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Example Question #2 : How To Find The Area Of A Rectangle

Find the area of the following rectangle.

Possible Answers:

$\displaystyle 18$

$\displaystyle 36$

$\displaystyle 77$

$\displaystyle 9$

Correct answer:

$\displaystyle 77$

Explanation:

To find the area of the rectangle we use the equation $A=l \times w$ $\displaystyle A=l \times w$

In this case, we have:

$A= 11\times 7 =77$ $\displaystyle A= 11\times 7 =77$

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Example Question #3 : How To Find The Area Of A Rectangle

Find the area of the following rectangle.

Possible Answers:

$\displaystyle 42$

$\displaystyle 30$

$\displaystyle 21$

108 $\displaystyle 108$

Correct answer:

108 $\displaystyle 108$

Explanation:

In order to find the area of the rectangle we use the equation $A=l \times w$ $\displaystyle A=l \times w$

In this case, we have:

$A=12\times 9=108$ $\displaystyle A=12\times 9=108$

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Example Question #7 : How To Find The Area Of A Rectangle

A rectangle with its length and its width is shown below.

If the area of a rectangle is $\text{length}\times\text{width}$ $\displaystyle \text{length}\times\text{width}$ , what is the area of the rectangle above?

Possible Answers:

3a+6 $\displaystyle 3a+6$

$6\times3$ $\displaystyle 6\times3$

$3a\times6$ $\displaystyle 3a\times6$

$6a\times3a$ $\displaystyle 6a\times3a$

Correct answer:

$3a\times6$ $\displaystyle 3a\times6$

Explanation:

Since the question tells you the formula to find the area of a rectangle, plug in the given values found in the figure to get the correct answer.

For the figure given, $\text{width}=6$ $\displaystyle \text{width}=6$ and $\text{length}=3a$ $\displaystyle \text{length}=3a$ .

$\text{Area of Rectangle}=\text{length}\times\text{width}$ $\displaystyle \text{Area of Rectangle}=\text{length}\times\text{width}$

$\text{Area of Rectangle}=3a\times6$ $\displaystyle \text{Area of Rectangle}=3a\times6$

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Example Question #8 : How To Find The Area Of A Rectangle

A rectangle with its length and its width is shown below.

If the area of a rectangle is $\text{length}\times\text{width}$ $\displaystyle \text{length}\times\text{width}$ , what is the area of the rectangle above?

Possible Answers:

$5b\times b$ $\displaystyle 5b\times b$

$b\times5$ $\displaystyle b\times5$

b+5 $\displaystyle b+5$

5+1 $\displaystyle 5+1$

Correct answer:

$b\times5$ $\displaystyle b\times5$

Explanation:

Since the question tells you the formula to find the area of a rectangle, plug in the given values found in the figure to get the correct answer.

For the figure given, $\text{width}=5$ $\displaystyle \text{width}=5$ and $\text{length}=b$ $\displaystyle \text{length}=b$ .

$\text{Area of Rectangle}=\text{length}\times\text{width}$ $\displaystyle \text{Area of Rectangle}=\text{length}\times\text{width}$

$\text{Area of Rectangle}=b\times 5$ $\displaystyle \text{Area of Rectangle}=b\times 5$

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Example Question #9 : How To Find The Area Of A Rectangle

A rectangle with its length and width is shown below.

If the area of a rectangle is $\text{length}\times\text{width}$ $\displaystyle \text{length}\times\text{width}$ , what is the area of the rectangle above?

Possible Answers:

6c + 15 $\displaystyle 6c + 15$

$6c\times15c$ $\displaystyle 6c\times15c$

$6c\times 15$ $\displaystyle 6c\times 15$

$6\times15$ $\displaystyle 6\times15$

Correct answer:

$6c\times 15$ $\displaystyle 6c\times 15$

Explanation:

Since the question tells you the formula to find the area of a rectangle, plug in the given values found in the figure to get the correct answer.

For the figure given, $\text{width}=15$ $\displaystyle \text{width}=15$ and $\text{length}=6c$ $\displaystyle \text{length}=6c$ .

$\text{Area of Rectangle}=\text{length}\times\text{width}$ $\displaystyle \text{Area of Rectangle}=\text{length}\times\text{width}$

$\text{Area of Rectangle}=6c\times15$ $\displaystyle \text{Area of Rectangle}=6c\times15$

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Example Question #10 : How To Find The Area Of A Rectangle

A rectangle with its length and its width is shown below.

If the area of a rectangle is $\text{length}\times\text{width}$ $\displaystyle \text{length}\times\text{width}$ , what is the area of the rectangle above?

Possible Answers:

$3d\times20d$ $\displaystyle 3d\times20d$

3d-20 $\displaystyle 3d-20$

$3d\times20$ $\displaystyle 3d\times20$

3d+20d $\displaystyle 3d+20d$

Correct answer:

$3d\times20$ $\displaystyle 3d\times20$

Explanation:

Since the question tells you the formula to find the area of a rectangle, plug in the given values found in the figure to get the correct answer.

For the figure given, $\text{width}=20$ $\displaystyle \text{width}=20$ and $\text{length}=3d$ $\displaystyle \text{length}=3d$ .

$\text{Area of Rectangle}=\text{length}\times\text{width}$ $\displaystyle \text{Area of Rectangle}=\text{length}\times\text{width}$

$\text{Area of Rectangle}=3d\times20$ $\displaystyle \text{Area of Rectangle}=3d\times20$

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All ISEE Lower Level Quantitative Resources

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

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #231 : Quadrilaterals

Example Question #2 : How To Find The Area Of A Rectangle

Example Question #232 : Quadrilaterals

Example Question #1 : How To Find The Area Of A Rectangle

Example Question #2 : How To Find The Area Of A Rectangle

Example Question #3 : How To Find The Area Of A Rectangle

Example Question #7 : How To Find The Area Of A Rectangle

Example Question #8 : How To Find The Area Of A Rectangle

Example Question #9 : How To Find The Area Of A Rectangle

Example Question #10 : How To Find The Area Of A Rectangle

All ISEE Lower Level Quantitative Resources

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