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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.
Solution
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.
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