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serious [3.7K]
3 years ago
12

We are interested in the dimensions of a certain rectangle. This rectangle has length triple the side of the square and width tw

o units less than the side of the square. If the two areas are equal, what are the rectangle's dimensions (w x h)?
Mathematics
1 answer:
sukhopar [10]3 years ago
4 0
Let s be the side of the square. The length of the rectangle is 3s and its width is equal to s - 2. From the given condition,
                              A (square) = A (rectangle)
                                 s² = (3s)(s - 2)
                                 s² = 3s² - 6s
                                   -2s² = -6s
                                       s = 3
Thus, the length of the rectangle is 9 and its width is 1
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