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

Answer:

9 inches

Step-by-step 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

$x+5+x+5+x+5+x+5=56$

$4x+20=56$

$4x=56-20$

$4x=36$

$x=\frac{36}{4}$

$x=9$ inches

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