After bursting crackers, you were having food and watching Mission Impossible. It was the climax and Ethan hunt was going to land on a place as given in the figure. With a gadget he got a blue print of the place and the measurements. Find the area of the place where he can land.

12m²

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16 m²

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9 m²

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10 m²

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Solution

The correct option is A
12m²

Ethan can land on the area other than the swamp. This area is the area of the parallelogram from which we have to subtract the area of the swamp.We know that one of the sides of the swamp is 4 m and to find the other side we should use Pythagoras theorem.

Using Pythagoras Theorem,
AB² = AC² + BC²
25 = 16 + BC²
BC²= 9
BC = 3 m

So, the other side of the swamp area is 7m - 3m = 4m

The area where he can land = area of parallelogram - area of the square

= (base x height) - (length x breadth)

= (7 × 4) - (4 × 4) = 28 - 16 = 12 m²

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