Akite 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.

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

As per question

New perimeter of kite is 56 inches.

So, we get

inches

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

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step-by-step explanation: