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 $40m$ 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 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
$= 34m \times 11m$
$= 374\ m^2$

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