In the figure, what is ratio of area of $△ F A R and area of parallelogram CART ? .$

1 : 1

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1 : 2

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2 : 3

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3 : 2

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Solution

The correct option is B 1 : 2

If a triangle and a parallelogram are on the same base and between the same parallels, then the area of the triangle is equal to half the area of the parallelogram.

$△ F A R$ and parallelogram CART are on the same base AR and between the same parallels AR and CT.
$∴ \frac{1}{2} (ar △ F A R) = a r (C A R T)$
$\Rightarrow ar (△ F A R) = 2 \times a r (C A R T)$
$∴ \frac{ar (△ F A R)}{a r (C A R T)} = \frac{1}{2}$
$= 1 : 2$

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In the figure, what is ratio of area of △FAR and area of parallelogram CART?.

In the figure, what is ratio of area of $△ F A R and area of parallelogram CART ? .$