Answer: Width = 5.5ft
Length = 18ft
Step-by-step explanation:
Let the width of the rectangle be x
Since the length of the rectangle is 7 ft more than twice the width. This mean that the length will be:
= (2 × x) + 7 = 2x + 7.
Therefore, length × width = area
x × (2x + 7) = 99
2x² + 7x = 99
2x² + 7x - 99 = 0
2x² + 18x - 11x - 99 = 0
2x(x + 9) - 11(x + 9) = 0
(2x - 11) = 0
2x = 0 + 11
2x = 11
x = 11/2
x = 5.5
The width is 5.5ft
Length = 2x + 7 = 2(5.5) + 7 = 11+7 = 18ft
