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SSAT Middle Level Math : How to find the area of a parallelogram

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Example Questions

Example Question #1 : Parallelograms

Parallelogram

Note: Figure NOT drawn to scale

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

Give the area of the parallelogram.

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

The area of a parallelogram is its base multiplied by its height - represented by $\displaystyle b$ and $\displaystyle h$ here:

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

Note that the value of $\displaystyle a$ is irrelevant.

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

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

Possible Answers:

$360\:cm^{2}$ $\displaystyle 360\:cm^{2}$

$36\:cm^{2}$ $\displaystyle 36\:cm^{2}$

$288\:cm^{2}$ $\displaystyle 288\:cm^{2}$

$320\:cm^{2}$ $\displaystyle 320\:cm^{2}$

$38\:cm^{2}$ $\displaystyle 38\:cm^{2}$

Correct answer:

$320\:cm^{2}$ $\displaystyle 320\:cm^{2}$

Explanation:

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

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

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

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Example Question #1 : Parallelograms

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

Possible Answers:

$260\:cm^{2}$ $\displaystyle 260\:cm^{2}$

$140\:cm^{2}$ $\displaystyle 140\:cm^{2}$

$120\:cm^{2}$ $\displaystyle 120\:cm^{2}$

$240\:cm^{2}$ $\displaystyle 240\:cm^{2}$

$288\:cm^{2}$ $\displaystyle 288\:cm^{2}$

Correct answer:

$240\:cm^{2}$ $\displaystyle 240\:cm^{2}$

Explanation:

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

Substituting the values from our question:

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

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

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Example Question #171 : Geometry

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

Possible Answers:

$450\:cm^{2}$ $\displaystyle 450\:cm^{2}$

$300\:cm^{2}$ $\displaystyle 300\:cm^{2}$

$45\:cm^{2}$ $\displaystyle 45\:cm^{2}$

$390\:cm^{2}$ $\displaystyle 390\:cm^{2}$

$195\:cm^{2}$ $\displaystyle 195\:cm^{2}$

Correct answer:

$450\:cm^{2}$ $\displaystyle 450\:cm^{2}$

Explanation:

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

Substituting the values from our question:

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

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

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Example Question #131 : Plane Geometry

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

Possible Answers:

$56\:cm^{2}$ $\displaystyle 56\:cm^{2}$

$63\:cm^{2}$ $\displaystyle 63\:cm^{2}$

$72\:cm^{2}$ $\displaystyle 72\:cm^{2}$

$72\:cm$ $\displaystyle 72\:cm$

$63\:cm$ $\displaystyle 63\:cm$

Correct answer:

$72\:cm^{2}$ $\displaystyle 72\:cm^{2}$

Explanation:

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

A=bh $\displaystyle A=bh$

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

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

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Example Question #6 : Parallelograms

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

Possible Answers:

$132\:cm$ $\displaystyle 132\:cm$

$77\:cm$ $\displaystyle 77\:cm$

$77\:cm^{2}$ $\displaystyle 77\:cm^{2}$

$132\:cm^{2}$ $\displaystyle 132\:cm^{2}$

$84\:cm^{2}$ $\displaystyle 84\:cm^{2}$

Correct answer:

$132\:cm^{2}$ $\displaystyle 132\:cm^{2}$

Explanation:

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

A=bh $\displaystyle A=bh$

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

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

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Example Question #92 : Quadrilaterals

Find the area of the following parallelogram:

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

Possible Answers:

$50\: in^2$ $\displaystyle 50\: in^2$

$30\: in^2$ $\displaystyle 30\: in^2$

$32\: in^2$ $\displaystyle 32\: in^2$

$60\: in^2$ $\displaystyle 60\: in^2$

Correct answer:

$50\: in^2$ $\displaystyle 50\: in^2$

Explanation:

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

$A=b\times h$ $\displaystyle A=b\times h$

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

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Example Question #1 : Area Of A Parallelogram

Find the area:

Question_5

Possible Answers:

$\small 24$ $\displaystyle \small 24$

$\small 32$ $\displaystyle \small 32$

$\small 12$ $\displaystyle \small 12$

$\displaystyle 15$

$\small 16$ $\displaystyle \small 16$

Correct answer:

$\small 24$ $\displaystyle \small 24$

Explanation:

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

$\small A=bh$ $\displaystyle \small A=bh$

Therefore,

$\small A=8\times3=24$ $\displaystyle \small A=8\times3=24$

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

Parallelogram

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

Possible Answers:

$\displaystyle 38$

$\displaystyle 30$

$\displaystyle 28$

$\displaystyle 48$

$\displaystyle 40$

Correct answer:

$\displaystyle 40$

Explanation:

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

$\displaystyle A=(b)(h)=(8)(5)=40$

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

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SSAT Middle Level Math : How to find the area of a parallelogram

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #1 : Parallelograms

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

Example Question #1 : Parallelograms

Example Question #171 : Geometry

Example Question #131 : Plane Geometry

Example Question #6 : Parallelograms

Example Question #92 : Quadrilaterals

Example Question #1 : Area Of A Parallelogram

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

All SSAT Middle Level Math Resources

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