Question

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

Answer 1

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