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The Shaded Region of the Given Diagram Represents the Lawn in the Form of a House. on the Three Sides of the Lawn, There Are Flowerbeds Having a Uniform Width of 2 M.

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Question

The shaded region of the given diagram represents the lawn in the form of a house. On the three sides of the lawn, there are flowerbeds having a uniform width of 2 m.

(i) Find the length and the breadth of the lawn.
(ii) Hence, or otherwise, find the area of the flower-beds.

Sum
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Solution

Consider the following figure

(i) The length of the lawn = 30 - 2 - 2 = 26 m
The breadth of the lawn = 12 - 2 = 10 m

(ii) The orange shaded area in the figure is the required area.
Area of the flower bed is calculated as follows:
A = 10 x 2 + 10 x 2 + 30 x 2
   = 20 + 20 + 60 
   = 100 sq.m.

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Chapter 20: Area and Perimeter of Plane Figures - Exercise 20 (B) [Page 255]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 20 Area and Perimeter of Plane Figures
Exercise 20 (B) | Q 15 | Page 255

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