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
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