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.

Answer 1

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.