Question

Find the cost of fencing a rectangular park of length 0.8 km and breadth 0.2 km at the rate of 12 per m.​

Answer 1

Given :

• Length of rectangular park = 0.8 km
• Breadth of rectangular park = 0.2 km

To Find :

• Cost of fencing rectangular park at the rate of Rs. 12 per m?

Solution :

Firstly converting units of length and breadth from km to m. As we know that;

• 1 km = 1000 m

So length and breadth in m will be;

➻ Length in m = 0.8 × 1000

➻ Length in m = 8 × 100

➻ Length in m = 800 m

➻ Breadth in m = 0.2 × 1000

➻ Breadth in m = 2 × 100

➻ Breadth in m = 200 m

• Hence, length and breadth in 'm' are 800 m and 200 m.

Now lets find perimeter of rectangular park by using formula of perimeter of rectangle, then we will able to find cost of fencing, As we know that,

• Perimeter of rectangle = 2(l + b)

Where,

• l denotes length of rectangle
• b denotes breadth of rectangle

We have,

• Length (l) = 800 m
• Breadth (b) = 200 m

Putting all values in formula we get,

➻ Perimeter = 2(800 + 200)

➻ Perimeter = 2(1000)

➻ Perimeter = 2 × 1000

➻ Perimeter = 2000 m

• Hence, perimeter of rectangular park is 2090 m.

Now,

➻ Cost = Rate × Perimeter

➻ Cost = 12 × 2000

➻ Cost = Rs. 24000

• Hence, cost of fencing rectangular park at the rate Rs. 12 per m is Rs. 24000.

Know more,

• Perimeter of any figure is calculated by sum of its all sides.
• Perimeter of square = 4 × side
• Area of square = (side)²
• Perimeter of equilateral ∆ = 3 × side
• Area of equilateral ∆ = √3/4 (side)²
• Perimeter of rhombus = 4 × side
• Area of rhombus = ½ × d₁ × d₂
• Perimeter of circle = 2πr
• Area of circle = πr²
• Perimeter of rectangle = 2(l + b)
• Area of rectangle = l × b

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Answer 2

Refer to the attachment