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Q.

In the given diagram below, the area of the square MNOP is 144 m 2 . Then the value of the area of each triangle is


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a

15 m 2

b

18 m 2

c

20 m 2

d

24 m 2                                                 

answer is B.

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Detailed Solution

Given, the area of the square MNOP is 144 m 2 .
Question ImageHere, if we see the diagram properly, we find that the square is formed of 8 small right-angled triangles each having base length half of the side length of the square.
Now, the area of the square is given as 144 m 2 .
Therefore, the total area of the square is 8 times the area of each triangle.
Area of each triangle = Areaofthesquare 8
Substituting the area of the square as given, we get the area of each triangle as,
= 144 8 m 2 =18 m 2
Hence, the correct option is (2).
 
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