Question

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 1

Let side of smaller square = x then the side of larger one = 2x.
totalerea = 45 so:-

x^2 + (2x)^2 = 45
x^2 + 4x^2 = 45
5x^2 = 45
x^2 = 9
x = 3

Length of each side of larger square = 6