Question

The length of a rectangle is 2 ft more than twice the width. The area is 84 ft2. Find the length and width of the rectangle.

Lenght
Width

Answer 1

let width=x

length = x + 2ft

Area = 82ft^2

Area= length×width

=(x+2)x

=x^2 +2x=82

x^2+2x-82=0

Use Quadratic Equation to get x.

x = -10.1(reject, length cannot be minus value or 8.11)

x = 8.11

width = 8.11ft

length = 10.11ft