In the figure find the area outside the trapezium, given square is of side 16 cm. Options: A . &nbsp 128 cm 2 B . &nbsp 154 cm 2 C . &nbsp 168 cm 2 D . &nbsp 28 cm 2

In the figure find the area outside the trapezium, given square is of side 16 cm

Question

In the figure find the area outside the trapezium, given square is of side 16 cm.

Options:

A . 128 cm

^{2}

B . 154 cm

^{2}

C . 168 cm

^{2}

D . 28 cm

^{2}

Answer: Option A
:
A

Required Area = Area of triangle AFG + Area of triangle DEF + Area of triangle BCD =

$(\frac{1}{2} \times 6 \times 8) + (\frac{1}{2} \times 8 \times 6) + (\frac{1}{2} \times 10 \times 16)$

= 128 cm $^{2}$

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