Alex made a sign out of a parallelogram-shaped piece of poster board. The poster board has a $48$ -inch base and a $1728$ -square-inch surface area. What is the poster board's height?

884 inches

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176 inches

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42 inches

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36 inches

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Solution

The correct option is D $36 inches$
Given:

$Base = 48 inches$

$Area = 1,728 square inches$

Now, As we know,

$Area=Base \times Height$

$⟹ 1, 728 = 48 \times Height$

$Height = \frac{1, 728}{48} = 36 inches$

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Alex made a sign out of a parallelogram-shaped piece of poster board. The poster board has a 48-inch base and a 1728-square-inch surface area. What is the poster board's height?

The correct option is D 36 inchesGiven: Base = 48 inches Area = 1,728 square inches Now, As we know, Area=Base× Height ⟹1,728=48×Height Height=1,72848=36 inches

Alex made a sign out of a parallelogram-shaped piece of poster board. The poster board has a $48$ -inch base and a $1728$ -square-inch surface area. What is the poster board's height?

The correct option is D $36 inches$
Given:

$Base = 48 inches$

$Area = 1,728 square inches$

Now, As we know,

$Area=Base \times Height$

$⟹ 1, 728 = 48 \times Height$

$Height = \frac{1, 728}{48} = 36 inches$