SOLUTION: A square lawn is surrounded by a path 2.5 m wide around it . If the area of the path is 200 sq m , find the area of the lawn
Algebra.Com
Question 567874: A square lawn is surrounded by a path 2.5 m wide around it . If the area of the path is 200 sq m , find the area of the lawn
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the side be x
Area of square = side ^2
area = x^2
width = 2.5
length increases by 5 m
Area including width = (x+5)(x+5)= (x+5)^2
(x+5)^2-x^2=2000
x^2+10x+25-x^2=200
10x=200-25
10x=175
/10
x= 17.5 m
RELATED QUESTIONS
A square lawn is surrounded by a path 2.5m wide around it. If the area of the path is 200 (answered by MathLover1)
a square lawn is surrounded by a path 4m wide around it.If the area of path is... (answered by ad_alta)
A square lawn is bounded on three sides by a path 4 m wide if the area of the path is 7/8 (answered by ikleyn)
A rectangular lawn 40 ft long and 30 ft wide has a path of uniform width around it. If... (answered by ankor@dixie-net.com)
A rectangular lawn measures 12m by 9m. There is a path which us 1m wide all around the... (answered by ikleyn)
A 50 m by 120 m park consists of a rectangular lawn surrounded by a path of uniform... (answered by nerdybill)
A rectangular grass lawn, 45 m long and 38 m wide, has a uniform concrete path around it. (answered by sudhanshu_kmr)
A square lawn is bounded on 3 sides by a path 4 meter wide. If the area of the path is... (answered by josgarithmetic)
A small city park consists of a rectangular lawn surrounded on all sides by a... (answered by mananth)