Sheila wants build a rectangular play space for her dog. She has 100 feet of fencing and she wants i

[math_celebrity]

Sheila wants build a rectangular play space for her dog. She has 100 feet of fencing and she wants it to be 5 times as long as it is wide. What dimensions should the play area be?

Sheila wants:

1. l =5w
2. 2l + 2w = 100 <-- Perimeter

Substitute (1) into (2)
2(5w) + 2w = 100
10w + 2w = 100
12w = 100

Divide each side by 12
w = 8.3333

Which means l = 5(8.3333) --> l = 41.6667