The length of a rectangle is 7 ft. more than twice the width, and the area of the rectangle is 99 ft. 2 . Find the dimensions of the rectangle.
Let w be the width of the rectangle, then the length is 2w + 7, we were given its area = w(2w + 7) = 99. 2w^2 + 7w - 99 = 0 (w + 9)(2w - 11) = 0 w = -9 (impossible) or w = 11/2 ft. length = 2(11/2) + 7 = 18 ft. The dismensions of the rectangle is width = 11/2 ft. and length = 18ft.
Question
Asked 5/11/2014 8:32:18 PM
Updated 5/14/2014 1:40:26 AM
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3
Let w be the width of the rectangle, then the length is 2w + 7, we were given its area = w(2w + 7) = 99.
2w^2 + 7w - 99 = 0
(w + 9)(2w - 11) = 0
w = -9 (impossible) or w = 11/2 ft.
length = 2(11/2) + 7 = 18 ft.
The dismensions of the rectangle is width = 11/2 ft. and length = 18ft.
Added 5/14/2014 1:40:26 AM
This answer has been confirmed as correct and helpful.
Confirmed by jeifunk [5/14/2014 1:47:47 AM]

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