SOLUTION: the combined area of two squares is 20 square centimeters. Each side of one square is twice as long as a side of the other square. Find the lengths of the sides of each square.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: the combined area of two squares is 20 square centimeters. Each side of one square is twice as long as a side of the other square. Find the lengths of the sides of each square.      Log On


   



Question 725286: the combined area of two squares is 20 square centimeters. Each side of one square is twice as long as a side of the other square. Find the lengths of the sides of each square.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
AREA=S^2+(2S)^2
20=S^2+4S^2
20=5S^2
S^2=20/5
S^2=4
S=SQRT4
S=2 ANS. FOR THE SMALLER SIDE.
2*2=4 ANS. FOR THE LARGER SIDE.
PROOF:
20=2^2+4^2
20=4+16
20=20