SOLUTION: The sides of a rectangale are in the ratio 2:1 .The length of each side diagonal of this rectangle is 23 cm. Find the length of each side of the of the rectangle correct to 2 decim

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Question 874627: The sides of a rectangale are in the ratio 2:1 .The length of each side diagonal of this rectangle is 23 cm. Find the length of each side of the of the rectangle correct to 2 decimal places.
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Q:
The sides of a rectangale are in the ratio 2:1 .The length of each side diagonal of this rectangle is 23 cm. Find the length of each side of the of the rectangle correct to 2 decimal places.
A:
The side of the rectangles are 2k and k.
Two adjacent sides and a diagonal formed a right triangle.
Using Pythagorean Theorem:
%282k%29%5E2+%2B+k%5E2+=+23%5E2
4k%5E2+%2B+k%5E2+=+529
5k%5E2+=+529
k%5E2+=+105.8
Get the positive square root of both sides
k = 10.28591 and 2k = 20.57183
Answers: highlight%2810.29%29 cm and highlight%2820.57%29 cm.