Question

The length of a rectangle is 3 m less than twice the width, and the area of the rectangle Is 65 m?. Find the dimensions of the rectangle.

Answer 1

In conclusion, the width of the rectangle is 3.5 m and its length is 4 m.

Explanation:

Since area of the rectangle = 14 m2,

x(2x - 3) = 14

2x2 - 3x = 14

2x2 - 3x - 14 = 0

(2x - 7)(x + 2) = 0

2x - 7 = 0 or x + 2 = 0

x = 7/2 or x = -2 (reject since width cannot be negative)

x = 3.5

2x - 3 = 2(3.5) - 3

= 4

In conclusion, the width of the rectangle is 3.5 m and its length is 4 m.

Checking of solution:

Check length of a rectangle is 3 m less than twice the width: 3.5(2) - 3 = 4

Check area of the rectangle is 14 m2: 3.5(4) = 14