Question

a rectangular park is45m long and30m wide .apath 2.5m wide is constructed outside the park .find the area of the path and the cost of constructing it iat Rs 125 per m sq

Answer 1

Length of rectangular park = 45 m
Width of rectangular park = 30 m
So area of rectangular park = $45\mathrm{m}\times 30\mathrm{m}=1350{\mathrm{m}}^2$
Width of the path = 2.5 m
So length of park including path = 45 m + 2.5 m + 2.5 m = 50 m
And width of the park including path = 30 m + 2.5 m + 2.5 m = 35 m
Then area of rectangular park including the path = $50\mathrm{m}\times 35\mathrm{m}=1750{\mathrm{m}}^2$
So area of the path = $1750{\mathrm{m}}^2-1350{\mathrm{m}}^2=400{\mathrm{m}}^2$
Cost of constructing the path per square metre = Rs.125
So, total cost of constructing the path = $125\times 400$ = Rs.50000