Problema Solution

The 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?

Answer provided by our tutors

Let


x = the length of the sides of the smaller square, x>0


2x = the length of the side of the larger square


The combined area of two squares is 45 square centimeters:


x^2 + (2x)^2 = 45

........


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........

x = 3 cm


2x = 2*3 = 6 cm


The length of each side of the large square is 6 cm.