Let x be the length of a side of the smaller square.
Since each side of the larger square is twice as long as a side of the smaller square, the length of a side of the larger square is 2x.
The area of the smaller square is x^2 and the area of the larger square is (2x)^2 = 4x^2.
Given that the combined area of the two squares is 45 square centimeters, we have:
x^2 + 4x^2 = 45
5x^2 = 45
x^2 = 9
x = 3
Therefore, the length of each side of the larger square is 2x = 2(3) = 6 centimeters.
le combined area of two squares is 45 square centimeters. Each side of one square is twice as long as a side of the other square.
What is the length of each side of the larger square?
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