The lateral area of a rectangular solid can be found using the following formula: LA = Ph, where P is the perimeter of the base, and h is the height. Find the lateral area of the solid when a = 5 in, b = 3 in, and c = 2 in. A) 32 in2 B) 32 in3 C) 18 in2 D) 18 in3

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02-03-2017
Mathematics

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The lateral area of a rectangular solid can be found using the following formula: LA = Ph, where P is the perimeter of the base, and h is the height. Find the lateral area of the solid when a = 5 in, b = 3 in, and c = 2 in. A) 32 in2 B) 32 in3 C) 18 in2 D) 18 in3

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taskmasters taskmasters · Answer 1 · 2017-03-10T14:42:10+01:00

First, determine the perimeter of the base by the doubling the sum of the length and the width. That is,
P = 2(a + b)
Substituting the known values,
P = 2(5 in + 3 in) = 16 in
Then, multiply the calculated value by the height to solve for the lateral area.
LA = (16 in)(2 in) = 32 in²
Thus, the answer to this item is letter A.