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SSAT Middle Level Math : Quadrilaterals

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Example Questions

Example Question #41 : How To Find The Area Of A Rectangle

Figures 2

Figure NOT drawn to scale.

Figure 1 and Figure 2 have the same area. The shaded portion of Figure 1 has area 64. What is the area of the shaded portion of Figure 2?

Possible Answers:

Correct answer:

Explanation:

Figure 1 is a rectangle divided into 24 squares of equal size; 3 of the squares are shaded, which means that $\frac{3}{24} = \frac{3 \div 3}{24\div 3 } = \frac{1}{8}$ of Figure 1 is shaded.

Figure 2 is a circle divided into 8 sectors of equal size; 1 is shaded, which means that $\frac{1}{8}$ of Figure 2 is shaded.

Since the two figures are of the same area, the two shaded portions, each of which have an area that is the same fraction of this common area, must themselves have the same area. Since the shaded portion of Figure 1 has area 64, so does the shaded portion of Figure 2.

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Example Question #91 : Quadrilaterals

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:

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

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

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

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

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

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:

$320\:cm^{2}$

$38\:cm^{2}$

$288\:cm^{2}$

$36\:cm^{2}$

$360\:cm^{2}$

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 #1 : Parallelograms

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:

$120\:cm^{2}$

$140\:cm^{2}$

$260\:cm^{2}$

$288\:cm^{2}$

$240\:cm^{2}$

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 #3 : How To Find The Area Of A Parallelogram

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:

$45\:cm^{2}$

$450\:cm^{2}$

$390\:cm^{2}$

$300\:cm^{2}$

$195\:cm^{2}$

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 #4 : 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:

$63\:cm$

$72\:cm$

$72\:cm^{2}$

$56\:cm^{2}$

$63\:cm^{2}$

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 #2 : 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:

$132\:cm$

$84\:cm^{2}$

$132\:cm^{2}$

$77\:cm^{2}$

$77\:cm$

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 #1 : How To Find The Area Of A Parallelogram

Find the area of the following parallelogram:

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

Possible Answers:

$50\: in^2$

$60\: in^2$

$32\: in^2$

$30\: in^2$

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 : Parallelograms

Find the area:

Question_5

Possible Answers:

$\small 32$

$\small 24$

$\small 16$

$\small 12$

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 #3 : 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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SSAT Middle Level Math : Quadrilaterals

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #41 : How To Find The Area Of A Rectangle

Example Question #91 : Quadrilaterals

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

Example Question #1 : Parallelograms

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

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

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

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

Example Question #1 : Parallelograms

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

All SSAT Middle Level Math Resources

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