A side of square flower bed is 1m 80cm long. It is enlarged by digging a strip 20 cm wide all around it. Find the area of the enlarged flower bed and also the increase in area of flower bed . how to find the solution of this upper question?
Given:
A side of square flower bed is 1m 80cm long.
It is enlarged by digging a strip 20 cm wide all around it.
To Do:
Find the area of the enlarged flower bed and also the increase in area of flower bed .
Solution:
Side of square flower bed = $1 m 80 cm = 1.8 m$
Area of square flower bed = $side^{2}$
= $(1.8 m)^{2}$
= $3.24 m^{2}$
Width of strip = $20 cm = 0.2 m$
Side of enlarged square flower bed = $1.8 m + 2 \times 0.2 m = 2.2 m$
Area of enlarged square flower bed = $side^{2}$
= $(2.2 m)^{2} $
= $4.84 m^{2}$
So, increase in area of square flower bed = $4.84 - 3.24 = 1.6 m^{2}$
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