SOLUTION: 1. The combined area of two squares is 26 square meters. the sides of the larger square are five times as long as the sides as the sides of the smaller square. find the dimensions

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Question 138178: 1. The combined area of two squares is 26 square meters. the sides of the larger square are five times as long as the sides as the sides of the smaller square. find the dimensions of each of the squares?
Answer by stanbon(75887) About Me  (Show Source):
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The combined area of two squares is 26 square meters. the sides of the larger square are five times as long as the sides as the sides of the smaller square. find the dimensions of each of the squares?
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Let smaller square have side = "x" ; then area = x^2
Larger square has side "5x" ; It's area is (5x)^2 = 25x^2
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EQUATION:
x^2 + 25x^2 = 26
26x^2 = 26
x^2 = 1
x = 1 meter (length of side of smaller square)
5x= 5 meters (length of side of larger square)
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Cheers,
Stan H.