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

1 Answer
Mar 27, 2018

#24# inches.

Explanation:

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.