In the given figure below, the rectangle MNOP is made up of four congruent rectangles. If the area of one of the rectangles is 8 $m 2$ and breadth is 2 m, then the perimeter of MNOP will be

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24 m

54 m

13 m

23 m

answer is A.

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Detailed Solution

Given, a rectangle MNOP is made up of four congruent rectangles.
The area of one of the rectangles = 8

Its breadth = 2 m.
The perimeter of any closed figure is the sum total of all of its sides.
Here the area of one rectangle is given as is 8

m 2

and breadth is given as 2 m.
Now, as the area of a rectangle is the product of its length and breadth, so using this definition for any one rectangle in the diagram, we have the length of the rectangle as,

= 82 = 4 m 2

So, we have the dimensions of the complete rectangle MNOP as follows,
Length = 2 + 2 + 4 = 8 m
Breadth = 4 m
Using these dimensions, we have the perimeter of MNOP as,