Question

A man bought a square plot of land. He decides to build the house at one corner in a

rectangular patch of length one third of the side of the plot and breadth one fourth of the
side of the plot .He decides to leave the remaining area for planting trees. If the area in
which the house is built is 75square meters then find the side of the square plot .
Also mention the value shown by the man.

Answer 1

30 meters

Explanation:

Let the side length of the square plot is x meters.

So, the length of the rectangular building is
`(x)/(3)` meters and the width of the building is
`(x)/(4)` meters.

So, area of the the building rectangle is
`(x)/(3) *(x)/(4) =(x^(2) )/(12)= 75` {Given}

⇒
`x^(2)  = 75 * 12 = 900`

⇒ x = 30 meters (Answer)