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Question
A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides a 50 cm wide flower bed is there as shown in the given figure. Find the area of the remaining portion.
Solution
Given dimensions of rectangular lawn = 10 m × 4 m and width of flower bed = 50 cm
Length of remaining portion,
EF = AB – (50 × 2 cm)
= 10 m – 100 cm ......`[∵ 1 cm = 1/100 m]`
= 10 m – 1 m
= 9 m
Breadth of remaining portion,
EH = AD – 50 cm
= 4 m – 0.5 m
= 3.5 m
∴ Required area = Area of portion EFGH
= EF × EH
= 9 × 3.5
= 31.5 m2
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