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

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:

6 cm

Step-by-step explanation:

Let x = side of smaller square

Let 2x = side of larger square

Therefore, we can create an equation (x)² + (2x)² = 45

Solving for x:

(x)² + (2x)² = 45

x² + 4x² = 45

5x² = 45

x² = 9

x = 3

Side Length of Larger Square = 2x = 2(3) = 6 cm

Hope this helps!

~~DeanGD20


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