Question

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

Answer 1

`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.