Question

In the following figure, two paths are shown in a rectangular field. Find the area of the path.

Answer 1

Given:

Rectangular field: 40 m by 30 m.

A horizontal path across the field of width 2 m.

A vertical path across the field of width 2 m.

Step-wise calculation:

1. Area of horizontal path 

= length × width 

= 40 × 2

= 80 m²

2. Area of vertical path 

= height × width

= 30 × 2

= 60 m²

3. Overlap (counted twice) 

= 2 × 2

= 4 m²

4. Total area of the paths 

= 80 + 60 – 4 

= 136 m²

Area of the path(s) = 136 m².