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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 following figure. Find the area of the remaining portion.

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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 following figure. Find the area of the remaining portion.

Diagram
Sum
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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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Chapter 9: Perimeter and Area - Exercise [Page 292]

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NCERT Exemplar Mathematics Exemplar Class 7
Chapter 9 Perimeter and Area
Exercise | Q 114. | Page 292

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