A square lawn is surrounded by a path 2.5 m wide. If the area of the path is 165 m², find the area of the lawn.
Answers
Answered by
21
Answer:
area of lawn is 196 m 2
Step-by-step explanation:
Let length side of lawn =x
area of lawn =x+x=x2
width=2.5m
length increased by 2.5+2.5m=5m
now, area of path including width =(x+5)*(x+5)
given, area of the path 165m2
=(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, the side of the lawn =14m
hence, area of the lawn =14*14=196m2
Answered by
7
Answer:
Step-by-step explanation:
Let length side of lawn =x
area of lawn =x+x=x2
width=2.5m
length increased by 2.5+2.5m=5m
now, area of path including width =(x+5)*(x+5)
given, area of the path 165m2
=(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, the side of the lawn =14m
hence, area of the lawn =14*14=196m2
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