Mathematics
The diagram (i) given below shows two paths drawn inside a rectangular field 50 m long and 35 m wide. The width of each path is 5 metres. Find the area of the shaded portion.
Mensuration
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Answer
We know that,
Area of rectangle = length × breadth
Area of square = side × side.
From figure,
Area of shaded portion = Area of rectangle ABCD + Area of rectangle PQRS – Area of square LMNO
Substituting values we get,
Area of shaded portion = AB × AD + PR × RS - LM × MN
= 50 × 5 + 35 × 5 - 5 × 5
= 250 + 175 - 25
= 400 m2.
Hence, area of shaded region = 400 m2.
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