Question

A rectangular lawn measuring 50 m by 36 m is surrounded externally by a path which is 2 m wide find the area of the path also calculate the cost of levelling of the path at rs 16 per metre square

Answer 1

 length(l) of lawn = 50m
   breadth(b)of lawn = 36m
   width of path = 2m
   so the,
     length(L) of outer rectangle = 50+2+2 = 54m
     breadth(B) of outer rectangle = 36+2+2 = 40m
                   
                  Area of path = Area of outer rectangle - Area of inner lawn
                                       = L×B - l×b
                                       = 54×40 - 50×36
                                       = 2160 - 1800
                                       =360m^2
                 Cost of levelling path = 360×16
                                                   =Rs.5760

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Answer 2

50*36 = 1800
( 50+4) *(36 +4) =2160
area of path = 1800 - 2160 = 360
cost if levelling = Rate*area
= ₹ 16*360
=5760