The perimeter of a swimmingpool is 78 feet. The difference between four times the length and the width is 73.5 feet. What are the length and the width of the pool?

Length is 22.5 ft

Width is 16.5 ft

Step-by-step explanation:

4L-w=73.5

4L=73.5+w

L = (73.5+w) / 4

P=78

P=2L+2w

78=2[ (73.5+w) / 4]+2w

78 = (73.5+w) / 2+2w

78 = (73.5+w+4w) / 2

2•78=73.5+5w

156=73.5+5w

156-73.5=5w

82.5=5w

82.5/5=w

16.5=w

L = (73.5+w) / 4

= (73.5+16.5) / 4

=90/4

L=22.5