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Question
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.
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 figure"/"Total number of small squares in the figure"`
= `96/24` .....[∵ Total number of small squares = 24]
= 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
`sqrt(4) = sqrt("Side" xx "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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