The combined area of two squares is 80 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?

The length of each side of the larger square is 8 cm.

Step-by-step explanation:

Step 1;

The combined area of two squares = 80 sq. cm The side of small square = x The side of larger square = 2x

Step 2:

Area of the square = a^2

Area of small square + area of large square = 80

x^2 + (2x) ^2 = 80

x^2 + 4x^2 = 80

5x^2 = 80

x^2 = 80/5

x^2 = 16

x = ±4

Step 3:

Since length cannot be negative, the value of x = 4

∴ The length of the side of small square = 4cm

The length of the side of larger square = 2x = 8cm