A rectangular plot is given for constructing a house, having a nice
long and 15 m in the front. According to the laws, a
mm the front. According to the laws, a minimum of 3 m, wide space
should be left in the front and back each and 2 n
voit une front and back each and 2 m wide space
sides. Find the largest area where house can be constructed.
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Let ABCD is a rectangular plot having a measurement of 40 m long and 15 m front.
∴ Length of inner-rectangle, EF = 40 – 3 – 3 = 34 m and breadth of inner-rectangle, FG =15 – 2 – 2 = 11 m
∴ Another rectangle EFGH will be formed inside the rectangle ABCD
∴ Area of inner rectangle, EFGH = Length x Breadth
= EF x FG = 34 x 11 = 374 m2
[∴ area of a rectangle = length x breadth]
Hence, the largest area where the house can be constructed in 374 m2
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