Question

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

Answer 1

Step 1: Find the dimensions of the plot after leaving required spaces

Length of a rectangular plot $=40m$

Width $=15m$

By keeping $3m$ wide space both in front and back

The length becomes $=40-3-3=34m$

By retaining $2m$ wide space on both the sides, the width $=15-2-2=11m$

Step 2: Find the area where the house can be constructed

$\because$ The area of a rectangular plot $=\text{length of plot×breadth of plot}$

$\therefore$ The area of the rectangular plot $=34\times 11=374m^2.$

Hence, The largest area where the house can be constructed $374m^2.$