Question

In figure $ EFGH$ is a parallelogram, altitudes $ FK$ and $ FI$ are $ 8 cm$ and $ 4 cm$ respectively. If $ EF=10cm$, then area of $ EFGH$ is

Fig. \( 9.19 \)

• A. $20c{m}^2$
• B. $32c{m}^2$
• C. $40c{m}^2$
• D. $80c{m}^2$

Answer 1

The correct option is C

$40c{m}^2$

find the area of the parallelogram

Let us consider the parallelogram $EFGH$ in the above figure,

Given $EF=HG=10cm$

We know that, the area of the parallelogram $EFGH=Base\times correspondingheight$

$=10\times 4$

$=40c{m}^2$

Hence, the correct answer is option(C).