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In the following figure, the area of $Δ G E F$ is:

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6 cm 2

12 cm 2

18 cm 2

24 cm 2

answer is D.

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Detailed Solution

Given a figure.
Question Image

A B C D

is a rectangle.

C D = 6 c m and A D = 8 c m

Compute the area of

Δ G E F .

Here,

Δ G E F

and parallelogram

A B C D

are on the same base.
Also, they are between the same parallels

A F

and

G D

.
Therefore, area of

Δ G E F

is given by,

= 12 × area of A B C D = 12 × A B × A D = 12 × C D × A D = 12 × 6 × 8 = 3 × 8 = 24 cm 2

Hence, the area of

Δ G E F = 24 c m 2

.
Hence, option 4) is correct.

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