A square lawn is surrounded by a path 2.5
Asked by admin @ in Math viewed by 256 People
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
Answered by admin @
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
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