Question

A rectangular grassy plot is $112$ m by $78$ m. If has a gravel path $2.5$ m wide all round on the inside. Find the area of the path and the cost of constructing it at Rs. $2$ per square metre?

• A. $923$ sq. m, Rs. $1846$
• B. $925$ sq. m, Rs. $1850$
• C. $940$ sq. m, Rs. $1880$
• D. none

Answer 1

The correct option is B $925$ sq. m, Rs. $1850$

Given,

Length of plot $=112m,$ Breadth $=78m$

Area of plot=$112\times 78=8736m^2$

Now After forming the path

The lenth of remaining plot $l=112-2\left(2.5\right)=108m$

Breadth $b=78-2\left(2.5\right)=73m$

Area of remaining plot $=108\times 73=7811m^2$

Area of path $=8736-7811=925m^2$

Cost of constructing

$=Area\times rate=925\times 2=Rs1850$