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Q.

What is the area of the given figure?

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a

400 cm2

b

200 cm2

c

100 cm2

d

300 cm2

answer is D.

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Detailed Solution

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To find the area of the given figure, we analyze the components and calculate their areas step by step. Additional perpendicular lines XC and YZ are drawn, ensuring they are perpendicular to DW, dividing the figure into rectangles for easier calculation.

Steps to Find the Area of the Given Figure:

  1. The first rectangle in the figure is ABCD.

    Length of rectangle ABCD: 30 cm

    Breadth of rectangle ABCD: 5 cm

    Area of rectangle ABCD: Length × Breadth = 30 cm × 5 cm = 150 cm2

  2. The second rectangle in the figure is UVWZ.

    Length of rectangle UVWZ: 30 cm

    Breadth of rectangle UVWZ: 5 cm

    Area of rectangle UVWZ: Length × Breadth = 30 cm × 5 cm = 150 cm2

  3. The third rectangle in the figure is XYZC.

    Length of rectangle XYZC: To be determined (depends on the given figure, not provided in the question).

    Breadth of rectangle XYZC: To be determined (depends on the given figure, not provided in the question).

    Area of rectangle XYZC: Will be calculated once the dimensions are known.

Total Area of the Given Figure

To find the area of the given figure, we sum the areas of all rectangles:

Total Area: Area of ABCD + Area of UVWZ + Area of XYZC = 150 cm2 + 150 cm2 + (area of XYZC).

Once the dimensions of rectangle XYZC are known, the total area of the given figure can be finalized.

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