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The perimeter of a parallelogram is 48 inches. If the sides are cut in half, then what is the perimeter?

Answer 1

Claire Akin

#24# inches.

Let the length and the width of the parallelogram be #a# and #b# inches respectively.

So, According to The Problem,

#color(white)(xxx)2(a + b) = 48#

#rArr a + b = 24#.....................................(i)

Let the New Length and The Width be #x# and #y# respectively; when the sides are cut in half.

So, #x = 1/2a rArr a = 2x# and #y = 1/2b rArr b = 2y#.

Let's Substitute This Values in the eq(i).

So, We get,

#color(white)(xxx)2x + 2y = 24#

#rArr 2(x + y) = 24#; And That's Actually The Perimeter of the Parallelogram after the sides are cut in half.

Hence Explained.

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Answer 2

Caroline Aucoin

If the sides of a parallelogram are cut in half, the new perimeter of the parallelogram would be half of the original perimeter. Therefore, if the original perimeter is 48 inches, the new perimeter after cutting the sides in half would be ( \frac{48}{2} = 24 ) inches.

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