SOLUTION: The combined area of two squares is 2600 square inches. Each side of one square is five times as long as a side of the other square. Find the dimensions of each of the squares.
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Question 646092: The combined area of two squares is 2600 square inches. Each side of one square is five times as long as a side of the other square. Find the dimensions of each of the squares. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The combined area of two squares is 2600 square inches.
Each side of one square is five times as long as a side of the other square.
Find the dimensions of each of the squares.
:
Let x = the side of the smaller square
then
5x = side of the larger
:
x^2 + (5x)^2 = 2600
x^2 + 25x^2 = 2600
26x^2 = 2600
x^2 = 2600/26
x^2 = 100
x =
x = 10 inches is the side of the small square
You can find out the side of the large square