# What will be the Area of Plot? If

Two sides of a plot measuring 32 m and 24 m and the angle between them is a perfect right angle. The other two side measure 25 m each and the other three angles are not right angles. The area of the plot in m2 is

1. 768
2. 534
3. 696.5
4. 684
Manish Listener Asked on 17th July 2015 in

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Explanation:-
According to the question,
In the figure-

RP = 40 cm                                  (Diagonal)
Draw a perpendicular OQ on RP.
Triangle QRP is a isosceles triangle.
So, it will divide RP in two equal parts.
Therefore, OP = OR = 20 m
In triangle QOR,
QO2 = 252 – 202 = 625 – 400 = 225
225 = 32 x 52
QO = 15 m
the total area of PQRS = Area of triangle PQR + Area of triangle PQS
= 15 x 40 /2 + 24 x 32/2
= (600 + 768)/2 = 1368/2 = 684 m square.
Hence, the answer is (4) 684 m square.

Anurag Mishra Professor Answered on 17th July 2015.