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The sum of the areas of two squares is 468 m^2: If the difference of their perimeters is 24 m, find the sides of the two squares.

Question

The sum of the areas of two squares is 468 m^2: If the difference of their perimeters is 24 m, find the sides of the two squares.
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Solution 1

Let's denote the side of the first square as a and the side of the second square as b.

From the problem, we have two equations:

  1. The sum of the areas of the two squares is 468 m^2. The area of a square is given by the side length squared, so we have a^2 + b^2 = 468.

  2. The difference of their Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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