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.

Length of 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 both the sides, the width = 15 – 2 – 2 = 11m 

The largest area where the house can be constructed = 34 × 11 = 374 m2.

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