MCQ
In the given figure $\text{ABCD}$ and $\text{ABFE}$ are parallelograms such that $ar($quadrilateral $\text{EABC}) = 17\ cm^2 $ and $ar(\|gm \text{ABCD}) = 25\ cm^2.$ Then, $ar(\triangle\text{BCF})=?$
  • A
    $4 \ cm^2$
  • B
    $4.8\ cm^2$
  • C
    $6\ cm^2$
  • $8\ cm^2$

Answer

Correct option: D.
$8\ cm^2$
From the given figure, we have $\|gm \text{ABCD}$ and $\|gm \text{ABFE}$ are lying on the same base and between the same parallels.
$\Rightarrow\ \text{ar}(\|\text{gm ABCD})=\text{ar}(\|\text{gm ABFE})=25\text{cm}^2$
$\Rightarrow\ \text{ar}(\triangle\text{BCF})=\text{ar}(\|\text{gm ABFE})-\text{ar}($quadrilateral $\text{EABC})$
$=25-17$
$=8 \ cm^2$

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