A rectangular plot is given for constructing a house, having a me… - Vidyadip

Question

A rectangular plot is given for constructing a house, having a measurement of $40\ m$ long and $15m$ 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 the other sides. Find the largest area where house can be constructed.

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Answer

Length of rectangular plot $= 40m$ Width of rectangular plot $= 15m$ Keeping $3m$ wide space in the front and back, length of rectangular plot $= 40 - 3 - 3 = 34m$ Keeping 2m wide space on both the sides, width of rectangular plot $= 15 - 2 - 2 = 11m$ Thus, largest area where house can be constructed $= 34m \times 11m = 374m^2$

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