Question

A rectangular field is 80m long and 50m wide. A 4m wide runs through the centre of the field parallel to the length and breadth of the field. Find the total area of the roads.

Answer 1

The road that run parallel to the length of the rectangular field (Shown in Green and Red) is a rectangle with length 80m and breadth 4m
Area 
= 80 x 4
= 320m²
The road that run parallel to the breadth of the rectangular field (Shown in Orange and Red) is a rectangle with length 80m and breadth 4m
Area
= 50 x 4
= 200m²
The area in Red is include in both the rectangular roads is included in both the roads
⇒ Required area
= 320 + 200 - 4 x 4
= 320 + 200 - 16
= 504m².