Question

A square lawn is surrounded by a path 2.5 m wide. If the area of the path is 165 squ. metre . Find the area of the lawn

Answer 1

Answer:

area of lawn is 196m2

Step-by-step explanation:

Let, length of of side lawn =x

area of lawn=x+x=x2

wide=2.5m

length=2.5+2.5=5m

area including width=(x+5)*(x+5)

area of path = 165

(x+5)*(x+5)-x2=165

x2+10x+25-x2=165

10x+25=165

10x=165-25

10x=140

x=140/10

x=14m

so, side of lawn=14m

Hence, area of lawn=14*14=196m2