ABCD is a rectangle of area 40 cm 2- If X is any point on AB- then what is the area of - XCD -A- None of theseB- 20 cm 2C- 40 cm 2D- 80 cm 2

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Standard IX

Mathematics

Theorem 2: Triangles

ABCD is a rec...

Question

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

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Solution

The correct option is A
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, then what is the area of ΔXCD ?

The correct option is A 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 ΔXCD will be 12×40=20cm2

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

The correct option is A
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.
$Therefore, area of Δ X C D will be \frac{1}{2} \times 40 = 20 c m^{2}$