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Pre-Algebra : Area

Study concepts, example questions & explanations for Pre-Algebra

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11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #61 : Area

Find the area of a parallelogram if the base length is and the height is .

Possible Answers:

12.5

100

Correct answer:

Explanation:

Write the formula for thearea of a parallelogram.

A=bh

Substitute the dimensions.

A=bh = 2(25)=50

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Example Question #62 : Area

Find the area of a parallelogram with a base of 4 and a height of 40.

Possible Answers:

200

160

320

Correct answer:

160

Explanation:

Write the formula to find the area of a parallelogram.

A=bh

Substitute the dimensions.

A=(4)(40)=160

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Example Question #63 : Area

Find the area of a parallelogram if both the base and height have a length of 10.

Possible Answers:

200

100

Correct answer:

100

Explanation:

Write the area of the parallelogram.

A=bh

Substitute the dimensions.

A=(10)(10)=100

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Example Question #64 : Area

Find the area of a parallelogram if the base is 3 inches and the height is 8 inches.

Possible Answers:

$12 \textup{ inches} ^2$

$24 \textup{ inches}$

$6 \textup{ inches} ^2$

$576\textup{ inches}^2$

$24 \textup{ inches} ^2$

Correct answer:

$24 \textup{ inches} ^2$

Explanation:

Write the formula for the area of a parallelogram.

A=bh

Substitute the dimensions.

$A= (3 \textup{ inches})(8\textup{ inches}) = 24 \textup{ inches} ^2$

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Example Question #15 : Area Of A Parallelogram

Find the area of a parallelogram if the base and height are x+1 and x^2 , respectively.

Possible Answers:

x^3+x^2

2x^3+2x^2

x^3+2x^2

2x^2+x

3x^2

Correct answer:

x^3+x^2

Explanation:

Write the formula for the area of a parallelogram.

A=bh

Substitute the dimensions. Use the distributive property. The distibutive property means to multiply the monomial term, x^2 , to each term within the parentheses. Remember when like bases are multiplied, their exponents are added together. Thus resulting in the following area.

A=(x+1)(x^2) = x^3+x^2

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Example Question #16 : Area Of A Parallelogram

Find the area of a parallelogram with a base of and a height of a+1 .

Possible Answers:

2a+2

a^2+1

a^2+2

a^2+a

Correct answer:

a^2+a

Explanation:

Write the formula to find the area of a parallelogram.

A=bh

Substitute the dimensions. Use the distributive property.

A=a(a+1) = a^2+a

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Example Question #67 : Geometry

Find the area of a parallelogram in $\textup{inches}$ if the base is $\textup{3 feet}$ and the height is $\textup{3 inches}$ .

Possible Answers:

108

$\frac{1}{4}$

542

1296

Correct answer:

108

Explanation:

Convert the base from feet to inches. There are $\textup{12 inches}$ in a foot. Multiply the base by .

$b=3 \textup{ feet }\times \frac{12\textup{ inches }}{1 \textup{ foot}} = 36 \textup{ inches}$

Write the area for a parallelogram.

A=bh

Substitute the new base and the height.

A=(36)(3)=108

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Example Question #65 : Area

Determine the area of a parallelogram with a base and height of $3\sqrt{5}$ .

Possible Answers:

225

Correct answer:

Explanation:

Write the formula to find the area of a parallelogram. Substitute the dimensions.

$A=bh = (3\sqrt5)(3\sqrt5) = 3\times 3\times 5 = 45$

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Example Question #69 : Geometry

Find the area of a parallelogram with the base of $\frac{8}{3}$ and a height of $\frac{2}{7}$ .

Possible Answers:

$\frac{16}{21}$

$\frac{32}{441}$

$\frac{16}{441}$

$\frac{62}{21}$

$\frac{10}{21}$

Correct answer:

$\frac{16}{21}$

Explanation:

Write the formula for the area of a parallelogram.

A=bh

Substitute the dimensions.

$A=\frac{8}{3} \times \frac{2}{7} = \frac{16}{21}$

Remember, when multiplying fractions, multiply the numerators together and multiply the denominators together.

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Example Question #70 : Geometry

Find the area of a parallelogram in feet with a base of 11 inches and a height of 2 feet.

Possible Answers:

$\frac{11}{6} \textup{ feet}^2$

$\frac{11}{6} \textup{ feet}$

$22 \textup{ feet}^2$

$264 \textup{ feet}^2$

$264 \textup{ feet}$

Correct answer:

$\frac{11}{6} \textup{ feet}^2$

Explanation:

Convert the base dimension to feet. There are 12 inches in a foot.

$b= 11 \textup{ inches} \left(\frac{1\textup{ foot}}{12 \textup{ inches}}\right) = \frac{11}{12} \textup{ foot}$

Write the formula for the area of a parallelogram.

A=bh

Substitute the dimensions.

$A=\left(\frac{11}{12} \textup{ foot}\right)(2 \textup{ feet}) = \frac{11}{6} \textup{ feet}^2$

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Pre-Algebra : Area

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #61 : Area

Example Question #62 : Area

Example Question #63 : Area

Example Question #64 : Area

Example Question #15 : Area Of A Parallelogram

Example Question #16 : Area Of A Parallelogram

Example Question #67 : Geometry

Example Question #65 : Area

Example Question #69 : Geometry

Example Question #70 : Geometry

All Pre-Algebra Resources

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