SOLUTION: The length of a rectangular floor is two metres more than twice its width. If a diagonal of the rectangle is 13 meters, find the area of the floor.

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Question 1186397: The length of a rectangular floor is two metres more than twice its width. If a diagonal of the rectangle is 13 meters, find the area of the floor.
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39618) About Me  (Show Source):
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%282u%2B2%29%5E2%2Bu%5E2=13%5E2, length and width and diagonal form a right triangle, longest side being the diagonal, so using Pythagorean Theorem.

4u%5E2%2B8u%2B4%2Bu%5E2=169
5u%5E2%2B8u=165
5u%5E2%2B8u-165=0

discrimin, 64%2B20%2A165=3364=58%5E2

u=%28-8%2B58%29%2F10
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60 square meters

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangular floor is two metres more than twice its width. If a diagonal of the rectangle is 13 meters, find the area of the floor.
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It's the 5, 12, 13 right triangle.
Almost as popular as the 3, 4, 5.
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Area = b*h/2 = 60 sq meters.