Question

A rectangular field measuring 40 m by 35
m is surrounded externally by a path 4 m
wide.. What is the cost of grassing the
path at the rate of Rs 10 per square metre?​

Answer 1

Answer:

Rs. 6640

Step-by-step explanation:

Area of Path = (Area of field with the external path) - (Area of field without Path)

Area of field alone = l×b = 40×35 = 1400 sq.m

Area of field with path = 48×43 = 2064 sq.m

[Because 4 m added with both sides of length and breadth]

Area of Path = 2064 - 1400

= 664 sq.m

For 1 sq.m = RS. 10

For 664 sq.m = 10 × 664

= 6640

Answer 2

• Given

• Dimensions of a rectangular field -
• Length of a rectangular field = 40 m
• Breadth of a rectangular field = 35 m
• The rectangular field is surrounded by a path 4 m wide.

• To find

• The cost of grassing the path at the rate of Rs 10 per square metre.

• Solution

Area of the rectangular field = length × breadth

⟶ 40 × 35

⟶ 1400 m²

• Area of the rectangular field = 1400 m²

Dimensions of the rectangular field including the path -

• Length of the rectangular field including the path = 40 + 4 + 4 = 48 m
• Breadth of the rectangular field including the path = 35 + 4 + 4 = 43 m

Area of the the rectangular field including the path = length × breadth

⟶ 48 × 43

⟶ 2064 m²

• Area of the rectangular field including the path = 2064 m²

Area of the path = Area of the rectangular field including the path - Area of the rectangular field.

⟶ 2064 - 1400

⟶ 664 m²

• Area of the path = 664 m²

The cost of grassing the path at the rate of Rs 10 per square metre = 664 × 10 = Rs. 6640

• The cost of grassing the path at Rs.10 per m² = Rs. 6640