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Murrr4er [49]
3 years ago
5

The length of a rectangle is five feet less than

Mathematics
1 answer:
kotegsom [21]3 years ago
3 0

Answer:

Length is w-5

Area  = length x width

84 = (w-5)w

84 = w^2 - 5w

0 = w^2 - 5w - 84

0 = (  w     -    12 )( w   +     7    )

w + 7 = 0 leads to negative measures.

w-12=0 ---> w = 12

width is 12, length is 5 less, or 7

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\bf 3\sqrt{2}-\sqrt{50}+3-\sqrt{8}+\sqrt{288}-\sqrt{9}~~ \begin{cases} 50=2\cdot 5\cdot 5\\ \qquad 2\cdot 5^2\\ 8=2\cdot 2\cdot 2\\ \qquad 2^2\cdot 2\\ 288=2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 3\\ \qquad 2^4\cdot 2\cdot 3^2\\ \qquad 2 (2^2)^2 3^2\\ \qquad 2(2^2 3)^2\\ \qquad 2(12)^2\\ 9=3^2 \end{cases}


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