SOLUTION: Hi I have a question about a math problem on my homework.
The question states: The diagonal of a smaller square is a side of a larger square, as shown below. The area of the smal
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The question states: The diagonal of a smaller square is a side of a larger square, as shown below. The area of the smal
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Question 591502: Hi I have a question about a math problem on my homework.
The question states: The diagonal of a smaller square is a side of a larger square, as shown below. The area of the smaller square is 36 square centimeters. What is the area of the larger square, in square centimeters?
I have tried to do the area of the triangle and I got 1/2 (3)(6). I got 9*4 and got 36 square centimeters. Now I do not know if that answer is correct or how to find the area of the bigger square.
I cannot attach a picture of the diagram Sorry... Found 2 solutions by stanbon, rfer:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The diagonal of a smaller square is a side of a larger square, as shown below. The area of the smaller square is 36 square centimeters. What is the area of the larger square, in square centimeters?
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If area of smaller square is 36 sq cm, each side is 6 cm.
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The diagonal of the smaller square: d^2 = 6^2+6^2 = 72
diagonal = 6sqrt(2) cm
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Area of larger square: (6sqrt(2))^2 = 36*2 = 72 sq cm.
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Cheers,
Stan H.
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