Area Of Rectangular Path

Vedic Maths trick to find Area Of Rectangular Path

A rectangular grassy plot 70m by 30m has gravel path 5m all round it on the inside.Find the cost of gravelling the path at 70 paise per sq. metre.

Formula to find the Aea rectangular:

AB = CD = Length of the rectangular.
AD = BC = Width of the rectangular.
So, Area of the rectangular is :

Area = Length * Width



In the above diagram -

AB = CD = 30m

and AD = BC = 70m

Total width cover by path = 5 + 5 = 10 m

Now, subtract the path width from both width and height of the plot so -

PQ = RS = 70 - 10= 60

PS = QR = 30 - 10 = 20

Now area of path : Area of ABCD - Area of PQRS

= AB * AD - PQ * PS

= 30 * 70 - 20 * 60

= 2100 - 1200

= 900m2

Cost of gravelling the path at 70 per aqr. metre.

900m2 = 900 * 70 = 63000 paise

= Rs 630

Cost of gravelling the path is Rs 630