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  • ABCD and ABFE are parallelograms such that area of quadrilateral EABC = 17 cm2 and area of || gm ABCD =25 cm2. <img alt="" src="https://cdn.entrance360.com

ABCD and ABFE are parallelograms such that area of quadrilateral EABC = 17 cm2 and area of || gm ABCD =25 cm2.

Then area of triangle BCF is:

Option: 1

8 cm2


Option: 2

10 cm2


Option: 3

6 cm2


Option: 4

Can't be determined


Answers (1)

best_answer

|| gm ABCD and || gm ABFE being on the same base and between the same parallels,

We have:

\\\operatorname{ar}(\| g m A B F E)=\operatorname{ar}(\| g m A B C D)=25 cm ^{2} \\ \\\operatorname{ar}(\triangle B C F)=\operatorname{ar}(\| g m A B F E)-\operatorname{ar}(\text { quad. } E A B C)=(25-17) cm ^{2}=8 cm ^{2}

Posted by

Devendra Khairwa

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