The area of a rectangle is 99 ft”, and the length of the rectangle is 7 ft more than twice the width. Find the dimensions of the rectangle

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

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