1. A gardener has 30 feet by 20 feet rectangular plot of ground. He wants to build a brick of walkway of uniform width on the border of the plot. If the gardener wants to have 400 square feet of ground left for planting, how wide should he build the walkway?

Question

2. A rectangular lawn is 60 meters by 80 meters. A part of the lawn is torn out to install a pool, leaving a strip of lawn of uniform width around the pool. The area of the pool is 1/6 of the old lawn areas. How wide is the trip of lawn?

Answer 1

1.
Total area = 30*20 ft²
Let x=width of walkway,
final area = (30-2x)(20-2x)=400
Solve for x.
2.
Lawn area = 60*80 m²
Final lawn width = x
Pool area = (60-2x)(80
2x)=(1/6)(60*80)
Solve for x.