# 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 m^{2} is

- 768
- 534
- 696.5
- 684

**Answer: (4)684**

**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,

QO

^{2}= 25

^{2}– 20

^{2}= 625 – 400 = 225

225 = 3

^{2}x 5

^{2 }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.