Find the area of quadrilateral $A B C D$ .

5

{cm}^{2}

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

21

{cm}^{2}

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

24

{cm}^{2}

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

42

{cm}^{2}

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

Open in App

Solution

The correct option is B $21$ ${cm}^{2}$
Given, length of diagonal $= 6$ , heights $4$ and $3$ rexpectively
Area of quadrilateral $A B C D =$ $\frac{1}{2} \times d \times (h_{1} + h_{2})$
$=$ $\frac{1}{2} \times 6 \times (3 + 4)$
$=$ $\frac{1}{2} \times 6 \times 7$
$=$ $21 {cm}^{2}$

Suggest Corrections

Similar questions

Question 16

The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is

(a) $72 c m^{2}$ (b) $36 c m^{2}$ (c) $24 c m^{2}$ (d) $18 c m^{2}$

Q. Find the area of the quadrilateral. (in

c m^{2}

)

Question 17

What is the area of the rhombus ABCD below if AC = 6 cm and BE = 4 cm?

(a) $36 c m^{2}$ (b) $16 c m^{2}$ (c) $24 c m^{2}$ (d) $13 c m^{2}$

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

___

(in $c m^{2}$ )

ABCD is a parallelogram whose area is 54 $c m^{2}$ . The area of triangle AEB is __ $c m^{2}$ .

Join BYJU'S Learning Program

Find the area of quadrilateral ABCD.

The correct option is B 21 cm2Given, length of diagonal =6, heights 4 and 3 rexpectivelyArea of quadrilateral ABCD= 12×d×(h1+h2)= 12×6×(3+4)= 12×6×7= 21 cm2

Find the area of quadrilateral $A B C D$ .

The correct option is B $21$ ${cm}^{2}$
Given, length of diagonal $= 6$ , heights $4$ and $3$ rexpectively
Area of quadrilateral $A B C D =$ $\frac{1}{2} \times d \times (h_{1} + h_{2})$
$=$ $\frac{1}{2} \times 6 \times (3 + 4)$
$=$ $\frac{1}{2} \times 6 \times 7$
$=$ $21 {cm}^{2}$