SSAT Middle Level Quantitative - How to find the area of a parallelogram

A given parallelogram has a base in length, a height in length, and a side of length opposite the height. What is the area of the parallelogram?

$320:cm^{2}$

$360:cm^{2}$

$288:cm^{2}$

$36:cm^{2}$

$38:cm^{2}$

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:

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

$A=320:cm^{2}$

Find the area of a parallelogram with a height of , base of , and a side length of .

$132:cm^{2}$

$77:cm^{2}$

$84:cm^{2}$

Explanation

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

$A=132:cm^{2}$

Find the area of a parallelogram with a height of , a base of , and a side length of .

$72:cm^{2}$

$63:cm^{2}$

$56:cm^{2}$

Explanation

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

$A=72:cm^{2}$

A parallelogram has a height of in length, a side of length opposite the height, and a base of . What is the area of the parallelogram?

$240:cm^{2}$

$288:cm^{2}$

$120:cm^{2}$

$140:cm^{2}$

$260:cm^{2}$

Explanation

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

Substituting the values from our question:

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

$A=240:cm^{2}$

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.

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

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

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

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

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

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.

A parallelogram has a base of length , a height of length , and a side of length . What is the area of the parallelogram?

$450:cm^{2}$

$390:cm^{2}$

$195:cm^{2}$

$45:cm^{2}$

$300:cm^{2}$

Explanation

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

Substituting the values from our question:

$A= 30:cm\times15:cm$

$A=450:cm^{2}$

Parallelogram

Find the area of the given parallelogram if .

Explanation

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

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

Find the area:

Question_5

$\small 24$

$\small 32$

$\small 12$

$\small 16$

Explanation

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

$\small A=bh$

Therefore,

$\small A=8\times3=24$

Find the area of the following parallelogram:

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

Explanation

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

$A=b\times h$

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

How to find the area of a parallelogram

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