Basketball is played on a rectangular court in which the length is 2m less than twice the width. if the perimeter of the court is 86m, what are the dimensions of the court?

length is 28 meters

width is 15 meters

Step-by-step explanation:

Write out formulas and assign variables:

Width: w

Length: l = 2w - 2

Here is a diagram:

            2w - 2              

|                                     |  w

||

The perimeter formula for rectangle is P = 2(l +w). Substitute the perimeter and the formula for length into the formula.

P = 2(l +w)

86 = 2(2w - 2 + w)       Simplify inside the brackets

86 = 2(3w - 2)            Divide both sides by 2

43 = 3w - 2              Add 2 to both sides

45 = 3w                  Divide both sides by 3

w = 45/3               Variable on left side is standard formatting

w = 15                 Width of basketball court

Substitute width into the length formula to fin length.

l = 2w - 2

l = 2(15) - 2

l = 30 - 2

l = 28           Length of basketball court

Therefore the length is 28 meters and the width is 15 meters.