Question

A path of uniform width of 1m inside the rectangular park of 20m and 15m are made. Find the area of a path.

• A. 66 sq.m
• B. 62 sq.m
• C. 68 sq.m
• D. 70 sq.m

Answer 1

Answer:

A. 66 sq.m

Solution:

Given:

A path of uniform width of 1m inside the rectangular park of 20m and 15m are made.

Formula Used:

Area of rectangular park = Length × breadth

Calculation:

The park is a rectangle measuring 20 m x 15 m

Now, The entire park's area = 20 × 15 = 300 square meters.

⇒ The inner rectangle has a length = 20 - 2 = 18 m

⇒ The inner rectangle has a width = 15 - 2 = 13 m

The area of the inner rectangle

⇒ 18m × 13m = 234 square meters.

The area of the path = (the total area of the park) - (the area of the inner rectangle)

⇒ 300 square meters (total park area) - 234 square meters (inner rectangle area) 

⇒ 66 square meters

∴  The area of a path is 66 square meters.