SOLUTION: The combine area of two squares is 45 cm² each side of one square is twice as long as the side of the other square what is the length of each side of the larger

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Question 945290: The combine area of two squares is 45 cm² each side of one square is twice as long as the side of the other square what is the length of each side of the larger
Answer by macston(5194) About Me  (Show Source):
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X is length of side of smaller square
x%5E2%2B%282x%29%5E2=45+cm%5E2
x%5E2%2B4x%5E2=45cm%5E2
5x%5E2=45cm%5E2 Divide each side by 5
x%5E2=9cm%5E2
x= 3cm
The sides of the smaller square are 3 cm
Side of larger=2 times side of smaller=6 cm
ANSWER The sides of the larger square are 6 cm.
CHECK
Sum of area=45 sq cm
3%5E2%2B6%5E2=45+cm%5E2
9%2B36=45+cm%5E2
45 sq cm=45 sq cm