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Question 60

What is the area of each small square in the given figure, if the area of entire figure is 96 sq cm? Find the perimeter of the figure.

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Solution

Given, area of entire figure = 96 sq cm

In order to find out the area of each small square we will divide the area of entire figure by the number of small square in the figure.

Area of a small square = Area of entire figureTotal number of small squares in the figure

=9624

= 4 sq cm

We know that,

Area of a small square = Side×Side

4 = Side×Side

Taking square root on both the sides, we get

4=Side×Side

Side = 2 cm

perimeter of the given figure = Sum of all sides

= (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 ) cm

=68 cm


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