Maths-

General

Easy

Question

# In the figure, area and Find area of

- 54
- 12
- 60
- 50

## The correct answer is: 54

### We should find the area of parallelogram ABCF

area $△ABC=27cm2$

ABCF is a $∥gm$ in which EF∥BC. Also, AF∥BC
Now, in $△ABC$ and $△ACF$
(i) $∠BAC=∠ACF$ [Alternate angles]
(ii) AC = AC [common]
(iii) AF = BC [$∵AF∥BC$]
Therefore, $△ABC≅△ACF$ [By SAS congreuncy]
Hence, ar $△ABC=△ACF$ [By CPCT]
$∴ar△ABC=ar△ACF=27c2$
And ar $∥gmABCF=ar△ABC+ar△ACF=27+27=54c2$

Hence Choice 1 is correct

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