Question

Find the cost of fencing a rectangular park of length 10m and breadth 5m at the rate of Rs.10 per metre. *

a. Rs.300

b. Rs.600

c. Rs.150

d. Rs.1200

​

Answer 1

Question:-

Find the cost of fencing a rectangular park of length 10m and breadth 5m at the rate of Rs.10 per metre. *

a. Rs.300

b. Rs.600

c. Rs.150

d. Rs.1200

Answer:-

• The total cost of fencing ₹300.

Given:-

• Length = 10 m
• Breadth = 5 m
• Cost of fencing (per m²) = ₹10

To find:-

• Cost of fencing

Solution:-

$\boxed{ \large{perimeter = 2(l + b)}}$

$\implies \: perimeter \: = 2(10 + 5) \\ \\ \implies \: perimeter \: =2 \times 15 \\ \\ \implies \: perimeter \: =30 \: m$

$\boxed { \large{cost \: of \: fencing = cost(per \: {m}^{2} ) \times perimeter}}$

$\implies \: cost \: = 10 \times 30 \\ \\ \implies \: cost \: =300$

• The total cost of fencing ₹300.

• The correct option is(a).

Answer 2

Given

• Length of rectangular park = 10m
• Breadth of rectangular park = 5m
• Cost of fencing = Rs.10 per meter

To find

• Cost of fencing the rectangular park.

Solution

• We know that

$\underline{\boxed{Perimeter\: of\: a\: rectangle = 2(l + b)}}$

→ Perimeter of park = 2(10 + 5)

→ Perimeter of park = 2(15)

→ Perimeter of park = 30m

[This is given that rate of fencing is Rs.10 per meter. Now we have to multiply the perimeter and cost of fencing per meter]

→ Cost of fencing = Rs(30 × 10)

→ Cost of fencing = Rs.300

Hence, the cost of fencing the park is Rs.300.