Question

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

Answer 1

square lawn surrounded by path -2.5 m wide

area of path - 165 m²

side of lawn -x

side of lawn including path - x + 2 (2.5 ) = x + 5

area of square - side * side

x² = ( x+5)- 165

x² = (x²+10x+25)

x²= x² + 10x-140

x² = 140 - x² =10x

-140 = -10x

140= 10x

x =140/10 =14

side of lawn is 14m

14 *14 is 196 m²

Answer 2

Answer:

Area of the path = 165m²

width of the path =2.5m²

let side of the square lawn=x m

outer side= x+2 x2.5

(x+5)m

Area of the path=(x+5²)-x²

x²+10x+25-x²=165

10x=165-25=140

x=140/10=14m

side of the lawn =14m

Area of the lawn=(14)²m²=196m²...

Step-by-step explanation:

Hope it will help you all.....