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Q.

What is the area of the given figure? ABCD is a rectangle and BDE is an isosceles right triangle.

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a

ab

b

c

cab

d

answer is D.

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Detailed Solution

Concept-The problem's illustration combines the shapes of an isosceles triangle BDE with a rectangle ABCD. Therefore, the area of the provided figure will be equal to the sum of the areas of these two components. The rectangle's area equals its length times its breadth. Additionally, a triangle's area is equal to the product of its base and perpendicular in half. Create an equation using this and replace the values with those shown in the illustration.
Area of the figure = rectangle ABCD + area BDE
Question Image

Question Image

Hence, the correct answer is option 4.

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