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Question
A rectangular field is 30 m in length and 22m in width. Two mutually perpendicular roads, each 2.5 m wide, are drawn inside the field so that one road is parallel to the length of the field and the other road is parallel to its width. Calculate the area of the crossroads.
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Solution
Length of rectangular field (l) = 30 m and breadth (b) = 22m
width of parallel roads perpendicular to each other inside the field =2.5m
Area of cross roads = width of roads (Length + breadth) – area of middle square
= 2.5 (30 + 22) – (2.5)2
= 2.5 x 52 – 6.25 m2
= (130 – 6.25) m = 123.75 m2
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