Question

A garden is 68m long and 52m broad. A path of 4 m width is to be built outside it, all around its border. find the cost of building the path at the rate of ₹48.50 per m²​

Answer 1

Given :-

• Length of garden = 68m
• Breadth of garden = 52m
• wide of path all around = 4m
• Path building cost = ₹48.50 per m²

To Find :-

• Total cost of path building all around the garden = ?

Solution :-

To calculate total cost of building path all around the garden garden , at first we have to find the area of path then calculate it's total cost of path building.

Calculation for Area of garden :-

=> Area of garden = Length × Breadth

[Length = 68m. Breadth = 52m]

=> Area = 68 × 52

=> Area = 3536m²

Calculation for Area of garden having 4m wide:-

=> Area of garden = Length × Breadth

[Length = 68 + 4 × 2 = 76m. Breadth = 52 + 4 × 2 = 60m]

=> Area = 76 × 60

=> Area = 4560m²

Calculation for Area of path :-

=> Area of path = outer Area - Inner Area

[Outer Area = 4560m². Inner Area = 3536m²]

=> Area = 4560 - 3536

=> Area = 1024m²

Calculation for total cost of building path :-

=> Total cost = Area of path × Rate

[Area of path = 1024m². Rate = 48.50m²]

=> Total cost = 1024 × 48.50

=> Total cost = ₹49664

Hence, total cost of building path = ₹49664 :-

Answer 2

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