Question

A rectangular garden is 175m long and 96m borad .find the cost of fencing it at ₹17.50 per meter . Also,find the cost ploughing it at ₹ 4.50 paise per square metre..

Answer 1

Answer:

Length of the garden = 175m

Breadth of the garden = 96m

Fencing refers to the perimeter of the garden.

Perimeter of a rectangle = 2 ( l + b )

⇒ Perimeter of the garden = 2 ( 175 + 96 )

⇒ Perimeter of the garden = 2 ( 271 )

⇒ Perimeter of the garden = 542 m

Cost of fencing per m = Rs. 17.5

Then, cost of fencing for 542 m is:

⇒ 542 × 17.5 = Rs. 9,485

Hence cost of fencing is Rs. 9,485

Ploughing refers to the area of the garden.

Area of rectangle = Length × Breadth

⇒ Area of garden = 175 × 96

⇒ Area of garden = 16,800 m²

Cost of ploughing per m² = Rs. 4.5

⇒ Cost of ploughing the garden = 16,800 × 4.5 = Rs. 75,600

Hence the cost of ploughing the land is Rs. 75,600.

Answer 2

Given, Length of rectangular garden = 175 m.

Given, Breadth of rectangular garden = 96 m.

We know that Area of rectangular garden = length * breadth

⇒ 175 * 96

⇒ 16800 m^2.

Now,

We know that perimeter of rectangular garden = 2(l + b)

⇒ 2(175 + 96)

⇒ 542 m.

(i)

Given, Cost of fencing per metre = 17.50.

Then, Cost of fencing 542 metre = 17.50 * 542

                                                       = 9485.

(ii)

Given, Cost of ploughing per m^2 = 4.50

Then, the cost of ploughing 16800 m^2 = 75600.

Therefore:

⇒ Cost of fencing = 9485.

⇒ Cost of ploughing = 75600.

Hope it helps!