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In the diagram shown, $ABCD$ is a parallelogram and $CDEF$ is a rectangle. What is the total area of the whole figure?

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35 c m^{2}

30 c m^{2}

25 c m^{2}

20 c m^{2}

answer is C.

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Detailed Solution

Given,

ABCD

is a parallelogram and

CDEF

is a rectangle.
Question Image

Area of parallelogram

ABCD

= base

\times

height .

\Rightarrow

Area of parallelogram

ABCD

= 5 \times 3 c m^{2}

\Rightarrow

Area of parallelogram

ABCD

= 15 c m^{2}

Area of a rectangle = length

\times

breadth.

\Rightarrow

Area of rectangle

CDEF = 2 \times 5 c m^{2}

\Rightarrow

Area of rectangle CDEF

= 10 c m^{2}

Total area of the whole diagram = Area of parallelogram

ABCD

+ Area of rectangle

CDEF

\Rightarrow

Total area of the whole diagram =

(15 + 10) c m^{2}

\Rightarrow

Total area of the whole diagram =

25 c m^{2}

Hence, option 3 is correct.

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In the diagram shown, ABCD is a parallelogram and CDEF is a rectangle. What is the total area of the whole figure?

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In the diagram shown, $ABCD$ is a parallelogram and $CDEF$ is a rectangle. What is the total area of the whole figure?