Table Tennis Dimensions

perimeter = 2L+2W=220

we also know that the length is related to the width by:

L=3W-2

use this equation for L in the perimeter equation:

2(3W-2)+2W=220

6W-4+2W=220

8W=224
W=28

L=3W-2=3×28-2=84-2=82

check:

perimeter=2×82+2×28=164+56=220

so L=82 and W=28

2L + 2W = 220 (eqn 1)

L + 2 = 3W
so 2L +4 = 6W
so 2L = 6W -4 (eqn 2)

sub eqn 2 into eqn 1

6W – 4 +2W = 220
8W -4 = 220
8W = 224
W = 28 feet
so L = 82 feet

let the width be x
length = 3x -2
since perimeter= 220,
2(3x-2) + 2x = 220
6x – 4 + 2x = 220
8x = 224
x = 28
therefore, the width is 28 feet.
when x=28, length = 3 (28) -2
therefore, length = 82 feet

Hence, dimensions = 82 x 28 feet.

Hope this step by step allows you to understand =)

28 feet by 82 feet

2x + 2y = 220

So x + y = 110

ALso: y = 3x – 2

So: x + 3x – 2 = 110

4x – 2 = 110

4x = 112

x = 28

y = 3 x 28 – 2 = 82

check 28 + 82 = 110