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SSAT Middle Level Math : Parallelograms

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Example Questions

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

Parallelogram

Note: Figure NOT drawn to scale

In the above diagram, $a = 14\; \textrm{in} ,b=16\; \textrm{in},h=10\; \textrm{in}$

Give the area of the parallelogram.

Possible Answers:

$224\; \textrm{in}^{2}$

$160\; \textrm{in}^{2}$

$80\; \textrm{in}^{2}$

$120\; \textrm{in}^{2}$

$140\; \textrm{in}^{2}$

Correct answer:

$160\; \textrm{in}^{2}$

Explanation:

The area of a parallelogram is its base multiplied by its height - represented by and here:

$A = bh = 16 \cdot 10 = 160$

Note that the value of is irrelevant.

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

A given parallelogram has a base $20\:cm$ in length, a height $16\:cm$ in length, and a side of length $18\:cm$ opposite the height. What is the area of the parallelogram?

Possible Answers:

$320\:cm^{2}$

$36\:cm^{2}$

$288\:cm^{2}$

$360\:cm^{2}$

$38\:cm^{2}$

Correct answer:

$320\:cm^{2}$

Explanation:

The formula for the area of a parallelogram is $A=b\times h$ , with base and height represented by and , respectively. Substituting values from the question:

$A=20\:cm\times 16\:cm$

$A=320\:cm^{2}$

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Example Question #171 : Geometry

A parallelogram has a height of $10\:cm$ in length, a side of length $12\:cm$ opposite the height, and a base of $24\:cm$ . What is the area of the parallelogram?

Possible Answers:

$120\:cm^{2}$

$240\:cm^{2}$

$140\:cm^{2}$

$260\:cm^{2}$

$288\:cm^{2}$

Correct answer:

$240\:cm^{2}$

Explanation:

Given base (b) and height (h) , $A=b\times h$ .

Substituting the values from our question:

$A=24\:cm\times 10\:cm$

$A=240\:cm^{2}$

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Example Question #172 : Geometry

A parallelogram has a base of length $30\:cm$ , a height of length $15\:cm$ , and a side of length $13\:cm$ . What is the area of the parallelogram?

Possible Answers:

$45\:cm^{2}$

$450\:cm^{2}$

$390\:cm^{2}$

$195\:cm^{2}$

$300\:cm^{2}$

Correct answer:

$450\:cm^{2}$

Explanation:

Given base (b) and height (h) , $A=b\times h$ .

Substituting the values from our question:

$A= 30\:cm\times15\:cm$

$A=450\:cm^{2}$

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

Find the area of a parallelogram with a height of $9\:cm$ , a base of $8\:cm$ , and a side length of $7\:cm$ .

Possible Answers:

$72\:cm^{2}$

$63\:cm^{2}$

$72\:cm$

$63\:cm$

$56\:cm^{2}$

Correct answer:

$72\:cm^{2}$

Explanation:

The area of a parallelogram with height and base can be found with the equation A=bh . Consequently:

A=bh

$A=(9\:cm)(8\:cm)$

$A=72\:cm^{2}$

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Example Question #4 : How To Find The Area Of A Parallelogram

Find the area of a parallelogram with a height of $12\:cm$ , base of $11\:cm$ , and a side length of $7\:cm$ .

Possible Answers:

$84\:cm^{2}$

$77\:cm^{2}$

$77\:cm$

$132\:cm$

$132\:cm^{2}$

Correct answer:

$132\:cm^{2}$

Explanation:

The area of a parallelogram with height and base can be found with the equation A=bh . Consequently:

A=bh

$A=(12\:cm)(11\:cm)$

$A=132\:cm^{2}$

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Example Question #3 : Parallelograms

Find the area of the following parallelogram:

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

Possible Answers:

$30\: in^2$

$60\: in^2$

$32\: in^2$

$50\: in^2$

Correct answer:

$50\: in^2$

Explanation:

The base of the parallelogram is 10, while the height is 5.

$A=b\times h$

$A=10\times5=50\: in^2$

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

Find the area:

Question_5

Possible Answers:

$\small 24$

$\small 12$

$\small 32$

$\small 16$

Correct answer:

$\small 24$

Explanation:

The area of a parallelogram can be determined using the following equation:

$\small A=bh$

Therefore,

$\small A=8\times3=24$

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Example Question #5 : How To Find The Area Of A Parallelogram

Parallelogram

Find the area of the given parallelogram if h=5, b=8, c=6 .

Possible Answers:

Correct answer:

Explanation:

In order to find the area of a parallelogram, we need to find the product of the base length and height.

A=(b)(h)=(8)(5)=40

Notice that only two of the given values were needed to slove this problem.

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Example Question #175 : Geometry

Parallelogram

Find the perimeter of the given parallelogram if h=3, b=5, c=4

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter, we find the sum of the OUTER sides:

Parallelogram_labeled

5+5+4+4=18

Notice that we didn't use the height in our calculation.

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SSAT Middle Level Math : Parallelograms

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

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

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

Example Question #171 : Geometry

Example Question #172 : Geometry

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

Example Question #4 : How To Find The Area Of A Parallelogram

Example Question #3 : Parallelograms

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

Example Question #5 : How To Find The Area Of A Parallelogram

Example Question #175 : Geometry

All SSAT Middle Level Math Resources

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