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280m sqr
step by step explaination:
Rectangle,
Side MP which is breath (b) = 16m
Side PO which is length (l) = 24m
Hence, area of rectangle MNOP = lXb = 24X16 = 384m sqr
As triangle NOR and triangle MPQ are congurent, they both become equal.
In triangle NOR,
Area of triangle NOR = 1/2 X ON X RS
= 1/2 X 16 X 6.5 = 52m sqr
As triangle NOR and MPQ are equal,
Area of triangle NOR = Area of triangle MPQ
or, Area of triangle MPQ = 52m sqr
We have,
Area of rectangle = 384m sqr
Area of triangles NOR and MPQ = 52+52 = 104m sqr
The area of shaded region = Area of rectangle - Area of triangles ( NOR and MPQ )
= 384-104 = 280m sqr
Therefore, area of shaded region is 280m sqr.
I hope this help. Have a good day :)
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