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a piece of wire 100 inches long is cut into two pieces and each bent into the shape of a square. if the sum of the areas of the two squares is 400 in2, find the length of each piece of wire.

Respuesta :

The length of the pieces of wire include 23.5425 inches and 75.4565 inches.

How to calculate the length?

Given the total length of wire is

X+Y=100

Y=100-X

Then we bend the two pieces into squares so that the sides of each square are X/4 and (100-X)/4. Therefore

(X/4)² + [(100-X)/4]² =400

X² +10000-200X +X² =6400

X²-100X+1800=0

Solving the equation

X = 76.4565 inches and X=23.5425 inches

Therefore, the length of the pieces of wire include 23.5425 inches and 75.4565 inches.

Learn more about squares on:

https://brainly.com/question/24673551

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