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Nuetrik [128]
3 years ago
7

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.

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
8 0
Ans: The side length of the original kite is 9 inches.

Sav [38]3 years ago
4 0

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.

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