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Pre-Algebra : Area of a Parallelogram

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Example Questions

Example Question #51 : Geometry

What is the area of a parallelogram with a base of and a height of ?

Possible Answers:

112

Correct answer:

Explanation:

Write the formula for the area of a parallelogram.

A=bh

Substitute the dimensions.

$A=7\times 8 = 56$

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Example Question #61 : Area

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

Possible Answers:

100

12.5

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:

$24 \textup{ inches}$

$24 \textup{ inches} ^2$

$12 \textup{ inches} ^2$

$576\textup{ inches}^2$

$6 \textup{ inches} ^2$

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 #65 : Area

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^2+x

x^3+2x^2

2x^3+2x^2

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 #66 : Geometry

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

Possible Answers:

a^2+2

a^2+a

2a+2

a^2+1

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 #66 : 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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Pre-Algebra : Area of a Parallelogram

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #51 : Geometry

Example Question #61 : Area

Example Question #62 : Area

Example Question #63 : Area

Example Question #64 : Area

Example Question #65 : Area

Example Question #66 : Geometry

Example Question #67 : Geometry

Example Question #66 : Area

Example Question #69 : Geometry

All Pre-Algebra Resources

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