Question

4. A rectangular swimming pool is 42 m by 32 m. A path 4 m wide is built all aroundoutside it. Find the cost of constructing the path @200 per m².​

Answer 1

⛦ Given :

• Length of rectangular pool = 42 m
• Breadth of rectangular pool = 32 m
• Width of path around it = 4 m

⛦ To find :

• The cost of constructing the path at 200 per m ².

⛦ Solution :

First finding the Area of the rectangular pool :

Area of rectangle = length × breadth

⟼ Area (rectangle) = 42 × 32

⟼ Area (rectangle) = 1344 m²

Now, finding the area of rectangle with path :

• Length of rectangle including path

= (42 + 4 + 4)m

= ( 46 + 4) m

= 50 m

• Breadth of rectangle including path

= (32 + 4 + 4) m

= (36 + 4) m

= 40 m

Area of rectangle including path

= 50 × 40 = 2000m²

Thus,

Area of path = Area of rectangle including path - Area of rectangle

↛ Area of path = 2000 - 1344

↛ Area of path = 656 m²

Now,

Cost of Constructing path at per m = ₹200

Cost of constructing path at 656 m²

= ₹ (656 × 200)

= ₹ 131,200