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

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

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Example Questions

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

What is the area of a parallelogram with a height of inches and a base of inches?

Possible Answers:

$49\: in^{2}$

$56\: in^{2}$

$30\: in^{2}$

$64\: in^{2}$

Correct answer:

$56\: in^{2}$

Explanation:

The formula for finding the area of a parallelogram is the same as that of finding the area of a rectangle:

$area = base \times height$

In this case, the area equals inches times inches, or $56\: in^{2}$ .

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

Ted drew the parallelogram shown below.

Screenshot_2015-03-26_at_3.21.53_pm

What is the area of the parallelogram?

Possible Answers:

40 square feet

32 square feet

26 square feet

20 square feet

160 square feet

Correct answer:

32 square feet

Explanation:

The area of a parallelogram can be found by multiplying the base times the height. The height is the perpendicular distance between two bases. In the above parallelogram, the base is 8 and its height is 4, giving the equation 8 x 4 = A. The area is 32 square feet.

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

Wilhelmina drew the parallelogram below.

Screenshot_2015-03-26_at_3.32.40_pm

What is the area of the parallelogram?

Possible Answers:

96 square millimeters

42 square millimeters

40 square millimeters

80 square millimeters

72 square millimeters

Correct answer:

72 square millimeters

Explanation:

The area of a parallelogram can be found by multiplying the base times the height. The height is the perpendicular distance between two bases. In the above parallelogram, the base is 12 and its height is 6, giving the equation 12 x 6 = A. The area is 72 square millimeters.

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

Find the area of the following parallelogram.

Possible Answers:

120

108

Correct answer:

120

Explanation:

In order to find the area of a parallelogram we use the equation $A=b\times h$

In this case our values are b=12, h=10

So, our area is: $A=12\times 10=120$

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

Find the area of the following parallelogram.

Possible Answers:

Correct answer:

Explanation:

The equation for the area of a parallelogram is $A=b\times h$ .

In this case, our values are b=8, h=4

so, the area is: $A=8\times4=32$

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Example Question #1 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

What area of the rectangle is filled in?

5 8 rectangle

Possible Answers:

$\frac{3}{4}$

$\frac{5}{8}$

Correct answer:

$\frac{5}{8}$

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces are filled in.

$\frac{5}{8}$ of the area of this rectangle is filled in.

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Example Question #1 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

What area of the rectangle is filled in?

2 6 rectangle

Possible Answers:

$\frac{2}{8}$

$\frac{2}{7}$

$\frac{2}{5}$

$\frac{2}{6}$

$\frac{2}{4}$

Correct answer:

$\frac{2}{6}$

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces are filled in.

$\frac{2}{6}$ of the area of this rectangle is filled in.

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

What area of the rectangle is filled in?

7 12 rectangle

Possible Answers:

$\frac{7}{10}$

$\frac{7}{12}$

$\frac{6}{12}$

$\frac{6}{10}$

Correct answer:

$\frac{7}{12}$

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces are filled in.

$\frac{7}{12}$ of the area of this rectangle is filled in.

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Example Question #4 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

What area of the rectangle is filled in?

1 2 rectangle

Possible Answers:

$\frac{1}{4}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces is filled in.

$\frac{1}{2}$ of the area of this rectangle is filled in.

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Example Question #5 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

What area of the rectangle is filled in?

8 12 rectangle

Possible Answers:

$\frac{6}{12}$

$\frac{6}{10}$

$\frac{8}{10}$

$\frac{4}{10}$

$\frac{8}{12}$

Correct answer:

$\frac{8}{12}$

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into pieces and of those pieces are filled in.

$\frac{8}{12}$ of the area of this rectangle is filled in.

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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 parallelogram

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

All ISEE Lower Level Quantitative Resources

Example Questions

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

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

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

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

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

Example Question #1 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

Example Question #1 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

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

Example Question #4 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

Example Question #5 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

All ISEE Lower Level Quantitative Resources

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