The owner of an office building is expanding the length and width of a parking lot by the same amount. The lot currently measure
s 120 ft by 80 ft, and the expansion will increase its area by 4,400 ft2. By how many feet should the length of the parking lot be increased?
1 answer:
Present area = 120 * 80 = 9600 ft^2 so the new area will be 9600 + 4400 = 14000
So if increase in length = x we have
(x + 120)(x + 80) = 14,000
x^2 + 200x + 9600 - 14000 = 0
x^2 + 200x - 4400 = 0
x = 20 feet answer
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have a good day!