Question

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 ?

Answer 1

Answer:

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