ABCD is a rectangle of area $40 c m^{2}$ . If X is any point on AB, what is the area of $Δ X C D$ ?

20 c m^{2}

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80 c m^{2}

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40 c m^{2}

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Solution

The correct option is A $20 c m^{2}$
If a triangle and a parallelogram are on the same base and between the same parallels, then the area of triangle is equal to the half of parallelogram.
$Therefore, area of Δ X C D will be \frac{1}{2} \times 40 = 20 c m^{2}$

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ABCD is a rectangle of area 40 cm2. If X is any point on AB, what is the area of ΔXCD?

The correct option is A 20 cm2If a triangle and a parallelogram are on the same base and between the same parallels, then the area of triangle is equal to the half of parallelogram. Therefore, area of ΔXCD will be 12×40=20cm2

ABCD is a rectangle of area $40 c m^{2}$ . If X is any point on AB, what is the area of $Δ X C D$ ?

The correct option is A $20 c m^{2}$
If a triangle and a parallelogram are on the same base and between the same parallels, then the area of triangle is equal to the half of parallelogram.
$Therefore, area of Δ X C D will be \frac{1}{2} \times 40 = 20 c m^{2}$