The length of a rectangle is 4 meters less than twice the width. If the area of the rectangle is 240 square​ meters, find the dimensions.How many meters is the length? How many meters is the width?

Respuesta :

Length is 12 meter and width is 20 meter.

Step-by-step explanation:

Let L be the length and W be the width.

The length of a rectangle is 4 meters less than twice the width.

That is

            L = 2W - 4

The area of the rectangle is 240 square​ meters

That is

        L x W = 240

        (2W - 4) x W = 240

         2W² - 4W = 240

         W² - 2W - 120 = 0

          (W -12 ) (W+10) = 0

         W = 12 m or W = -10 m

So width of rectangle is 12 meter

Length = 2 x 12 - 4 = 20 m

Length is 12 meter and width is 20 meter.