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
inches
Now, on adding 5 inches to each side, each side will become ![x+4](https://tex.z-dn.net/?f=x%2B4)
As per question
New perimeter of kite is 56 inches.
So, we get
![x+5+x+5+x+5+x+5=56](https://tex.z-dn.net/?f=x%2B5%2Bx%2B5%2Bx%2B5%2Bx%2B5%3D56)
![4x+20=56](https://tex.z-dn.net/?f=4x%2B20%3D56)
![4x=56-20](https://tex.z-dn.net/?f=4x%3D56-20)
![4x=36](https://tex.z-dn.net/?f=4x%3D36)
![x=\frac{36}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B36%7D%7B4%7D)
inches
Hence, the side length of the original kite is 9 inches each.