A rectangular plot is given for construcitng a house having a measurement of 40 m long and 15 m in the front. According to the laws, a minimum of 3 m, wide space should be left in the front and back each and 2 m wide space on each of other sides. Find the largest area where house can be constructed.

Explanation

Let ABCD is a rectangular plot having a measurement of 40 m long and 15 m front.

`therefore"Length of inner-rectangle," " " EF=40-3-3=34m`
`"and breadth of inner-rectangle,"FG=15-2-2=11m`
`therefore"Another rectangle EFGH will be formed inside the rectangle ABCD"`
`therefore " ""Area of innerrectangle," EFGH="Length"xx"Breadth"`
`=EFxxFG=34xx11=374m^(2)`
`[therefore"area of a rectangle"="length"xx"breadth"]`
Hence, the largest area where the house can be constructed in 374 `m^(2)`.