Question

The Area of a Rectangle is 40. The width is 2 less than 3

times the length. Find the width.
O 10
O 12
O 15
O 14

Answer 1

Width = 10

Explanation:

let length = X

width = 3X - 2

Area = length x width

40 = X x (3X - 2)

40 = 3X^2 - 2X

therefore 3X^2 - 2x - 40 = 0

3x^2 + 10x - 12x - 40 = 0

x(3x + 10) - 4(3x + 10) = 0

(x - 4) (3x + 10) = 0

(x - 4) = 0

x = 4

(3x + 10) = 0

3x = - 10

x = -10/3

Since the lenght can't be negative, we'll work with x = 4

Therefore the width = 3x - 2

Width = 3(4) -2

Width = 12 - 2

Width = 10