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pushpitkc
Attachment:
Geometry.JPG

The figure shows a rectangle with a triangle inscribed in it. What is the area of the rectangle?

1. The area of the shaded region in 40.
2. The area of the non-shaded region is 40.

Source: Experts Global

Now area of rectangle is L*B..
the area of shaded region is \(\frac{1}{2}*L*H\), here height is nothing but the B of rectangle and ofcourse the Ls are same in each case..Thus area = \(\frac{1}{2}*L*B\)

so area of rectangle is HALF the area of shaded region OR the area of shaded region is the area of non-shaded region

Let us see the statements now..

1. The area of the shaded region in 40.
so area of rectangle is twice of 40 = 2*40=80
sufficient

2. The area of the non-shaded region is 40.
so area of rectangle is twice of 40 = 2*40=80
sufficient

D
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