Question

A park is 180 metres long and 110 metres broad dive rows of wire are fixed round it. Find the total cost of wiring if a metre of wire cost 45 paise​

Answer 1

Answer:

We know that all the angles of a rectangle are 90° and the diagonal divides the rectangle into two right angled triangles.

So, 48 m will be one side of the triangle and the diagonal, which is 50 m, will be the hypotenuse.

According to the Pythagoras theorem:

(Hypotenuse)2 = (Base)2 + (Perpendicular)2

Perpendicular = √(Hypotenuse)2-(Base)2

Perpendicular = √(50)2-(48)2=√2500-2304=√196=14 m

∴ Other side of the rectangular plot = 14 m

Length = 48m

Breadth = 14m

∴ Area of the rectangular plot = 48 m × 14 m = 672 m2

Hence, the area of a rectangular plot is 672 m2.