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