The length of a rectangle is 5 centimeters less than twice its width. Its area is 42 square centimeters. Find the dimensions of the rectangle.

The width is

and the length is

width=6cm, lenth is 7cm

Step-by-step explanation:

Let width of rectangle be x cm

Twice width=2x cm

length=2x-5 cm

Area of the rectangle = L * W = 42cm²

(2x-5) * x = 42

x (2x-5) = 42

2x²-5x-42=0

solving the quadratic equation

x=6cm

width=6cm

length = (2*6) - 5 = 7cm