Question

A rectangular park of length 400 feet and width 300 feet has a path of width 25 feet around it. Find the area of the path.

• A. 35,000 square feet
• B. 40,000 square feet
• C. 37,500 square feet
• D. 45,000 square feet

Answer 1

The correct option is C 37,500 square feet

Area of the park = Length × Width
= $400\times 300$
= 120,000 square feet

Length of the outer rectangle including the path = 400 + 25 + 25
= 450 square feet

Width of the outer rectangle including the path = 300 + 25 + 25
= 350 square feet

Area of the outer rectangle including the path = $450\times 350$
= 157,500 square feet

Area of the path = Area of the outer rectangle including the path - Area of the park
= 157,500 - 120,000
= 37,500 square feet