Answer:
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:
<u> 2w - 2 </u>
| | 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.
