Respuesta :
Answer:
28 ft x 20 ft
Step-by-step explanation:
Perimeter = 2xlength+2xwidth
let's say width = w and length = 2w-12
Plug that back in: 96 = 2(2w-12)+2(w)
Solve algebraically: 96 = 4w-24+2w
96=6w-24
6w=120
w=20
Plug that back into length: 2(20)-12 = 40-12 = 28
Therefore, 28 ft for length and 20 ft for width, or 28 ft x 20 ft
Answer: the length is 36 ft
The width is 12 ft
Step-by-step explanation:
Let L represent the length of the rectangular court.
Let W represent the width of the rectangular court.
The length of a rectangular court is 12 ft longer than twice the width. This is expressed as
L = 2W + 12
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the court is 96 ft. This means that
2(L + W) = 96
L + W = 96/2
L + W = 48 - - - - - - - - - - 1
Substituting L = 2W + 12 into equation 1, it becomes
2W + 12 + W = 48
3W = 48 - 12
3W = 36
W = 36/3
W = 12
L = 2 × 12 + 12
L = 24 + 12
L = 36
