Question

A kite has four equal sides. If 5 inches is added to each side, the new perimeter will be 56 inches. Find the side length of the original kite.

Answer 1

Ans: The side length of the original kite is 9 inches.

Answer 2

9 inches

Explanation:

Given: A kite has four equal sides. If 5 inches is added to each side, the new perimeter will be 56 inches.

To find: The side length of the original kite.

Solution:

Let the original side of the kite be x inches.

As, it is given that a kite has 4 equal sides.

So,original perimeter of the kite is
`x+x+x+x=4x` inches

Now, on adding 5 inches to each side, each side will become
`x+4`

As per question

New perimeter of kite is 56 inches.

So, we get

`x+5+x+5+x+5+x+5=56`

`4x+20=56`

`4x=56-20`

`4x=36`

`x=(36)/(4)`

`x=9` inches

Hence, the side length of the original kite is 9 inches each.