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

You visited us 1 times! Enjoying our articles? Unlock Full Access!

A Parallelogram and a Triangle between the Same Parallels

ABCD is a rec...

Question

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}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

40 c m^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

80 c m^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

N o n e o f t h e s e

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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

Suggest Corrections

Similar questions

Q. 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

In the rectangle ABCD, O is any point inside the rectangle. If area( ΔAOD) = 30 $c m^{2}$ and area( ΔBOC) = 60 $c m^{2}$ , area of the rectangle ABCD is ___ $c m^{2}$ .

In the given figure area of parallelogram ABCD is $160 c m^{2}$ , then the area of $Δ D A C$ is

In the given figure area of $Δ D A C$ is $60 c m^{2}$ , then the area of of parallelogram ABCD is

In the rectangle ABCD, O is any point inside the rectangle. If area( $△$ AOD) = 30 $c m^{2}$ and area( $△$ BOC) = 60 $c m^{2}$ , Find the area of the rectangle ABCD. [2 MARKS]

Join BYJU'S Learning Program

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