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WINSTONCH [101]
3 years ago
9

John's patio is 5 feet by 10 feet. He will be increasing the width and the length each by x feet. He wants the new area of his p

atio to be at least 126 square feet. Determine all the possible values for x.
Mathematics
1 answer:
tangare [24]3 years ago
6 0
Current area is 5ft * 10ft = 50ft^2.

Increasing by x, you have:
(5 + x)*(10 + x)  \geq  126 \\\\ 50 + 5x + 10x + x^2  \geq  126 \\\\ x^2 + 15x - 76  \geq  0 \\\\ x  \geq  4, x  \geq  -19

Since length must be positive, x \geq 4

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