Answer:
The length of the side of the smaller square is 3 inches and the length of the side of the bigger square is 6 inches
Explanation:
1. Let's review all the information provided to answer the question correctly:
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.
2. What is the length of each side of the larger square?
Length of side of the smaller square = x
Length of side of the bigger square = 2x (twice as long as a side of the other square)
Combined area of the two squares = (x * x) + (2x * 2x)
45 = x² + 4x²
45 = 5x²
9 = x²
x = √9
x = 3 inches
The length of the side of the smaller square is 3 inches and the length of the side of the bigger square is 6 inches