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?

Respuesta :

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

Step-by-step 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