Area of Rhombus

Q. Area of a rhombus is $60{\text{cm}}^2.$ Find the length of a diagonal if the length of the other diagonal is 10 cm.

1. 6cm
2. 12cm
3. 24cm
4. 15cm

Q.

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

1. $36c{m}^2$

2. $16c{m}^2$

3. $24c{m}^2$

4. $13c{m}^2$

Q. Area of rhombus is 120 $c{m}^2$, if one of the diagonal is 10 cm, then find the length of other diagonal.

1. 12 cm
2. 15 cm
3. 18 cm
4. 24 cm

Q. If the length of the diagonal of a square is 5$\sqrt{2}$ , then find its area

1. 10 $c{m}^2$
2. 25 $c{m}^2$
3. 25 $\sqrt{2}$ $c{m}^2$
4. 10$\sqrt{2}$ $c{m}^2$

Q. A rhombus has the same perimeter as the circumference of the circle. If the side of the rhombus is 2.2m, find the radius of the circle.

Q. Find the area of quadrilateral ABCD, when AE = 10 cm, BD = 20 cm, and CF = 8 cm.

1. 156 sq. cm
2. 180 sq. cm
3. 144 sq. cm
4. 120 sq. cm

Q. What is the area of the rhombus ABCD below, if AC = 12 cm and BE = 16 cm.

1. 384 sq. cm
2. 192 sq. cm
3. 112 sq. cm
4. 152 sq. cm

Q.

Find the area of the rhombus having diagonals of length 10 cm and 22 cm.

1. 220 cm²

2. 200 cm²

3. 110 cm²

4. 120 cm²

Q.

The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.

1. $40c{m}^2$

2. $45c{m}^2$

3. $15c{m}^2$

4. $25c{m}^2$

Q. It is given that a rhombus is obtained by joining the midpoints of the pairs of opposite sides of a rectangle. What is the area of the rhombus so obtained if the length and breadth of the rectangle are 8 cm and 6 cm respectively?

1. $48{\text{cm}}^2$
2. $24{\text{cm}}^2$
3. $12{\text{cm}}^2$
4. $28{\text{cm}}^2$

Q. ABCD is a rhombus with the diameters of a circle as its diagonals as shown in the figure below. What is the area of ABCD if the circumference of the circle is 44cm? (Use $\pi =\frac{22}{7}$)

1. 44 ${\text{cm}}^2$
2. 49 ${\text{cm}}^2$
3. 98 ${\text{cm}}^2$
4. 196 ${\text{cm}}^2$

Q. Diagonals of a rhombus are in ratio 4:3. find their lengths if area of that rhombus is 24$c{m}^2$.

1. 3 cm, 4 cm
2. 6 cm, 8 cm
3. 9 cm, 12 cm
4. 12 cm, 16 cm

Q. If diagonals of a rhombus are 3.8 cm and 4.6 cm respectively. find the area of the rhombus.

1. 5.76 $c{m}^2$
2. 8.74 $c{m}^2$
3. 12.96 $c{m}^2$
4. 9.64 $c{m}^2$

Q. The diagonals of a rhombus are $12cmand24cm$. The radius of the circle inscribed in the rhombus, is

1. $\frac{12}{\sqrt{5}}cm$
2. $\frac{6}{\sqrt{5}}cm$
3. $6\sqrt{5}cm$
4. Not possible as a circle in a rhombus cannot be inscribed

Q. The diagonals of a rhombus are $12$ cm and $16$ cm. Find its perimeter.

Q. In a rhombus $PQRS$, side $PQ=17cm$ and diagonal $PR=16cm$. Calculate the area of the rhombus.

1. $240{cm}^2$
2. $340{cm}^2$
3. $280{cm}^2$
4. $260{cm}^2$

Q. If the area of a rhombus is $48c{m}^2$ and one of its diagonals is $12cm$, find the side of the rhombus

1. $2\sqrt{13}c{m}^2$
2. $5\sqrt{13}c{m}^2$
3. $7\sqrt{13}c{m}^2$
4. $\sqrt{13}c{m}^2$

Q. Find the area of a rhombus whose side is $6cm$ and altitude is $4cm$. If one of the diagonals is $8cm$ long, find the length of the other diagonal.

Q. The area of rhombus is $96c{m}^2$. If one of its diagonals is $16cm$ then what will be the side of the rhombus?

Q. If the product of diagonals of a rhombus is 76 sq.unit, then find the area of given rhombus in sq.unit.

1. 19
2. 38
3. 152
4. 304

Q. The length of one diagonal of the a rhombus of side $5cm$ is $8cm$. The area of rhombus is

1. $20c{m}^2$
2. $40c{m}^2$
3. $26c{m}^2$
4. $24c{m}^2$

Q. Suppose the area of a rhombus is $119{\text{cm}}^2$ and the perimeter is $56$ cm. Find the length of the diagonals.

Q.

Q. The area of a rhombus is $216sq.cm$. If its one diagonal is $24cm$, find the length of its other diagonal.

1. $20cm$
2. $16cm$
3. $18cm$
4. None of the above

Q. The ratio of length of diagonals of a rhombus is $4:7$. If its area is $350c{m}^2$, find its side.

Q. The area of a rhombus is $28c{m}^2$ and one of its diagonals is $4cm$. Its perimeter is

1. $4\sqrt{53}$ $cm$
2. $36$ $cm$
3. $2\sqrt{53}$ $cm$
4. None of these

Q. The area of a rhombus is $966sq.cm.$ If the length of one of its diagonals is $46cm$, find the length of the other diagonal.

Q. There is a rhombus of side 6 cm and altitude 4 cm. If one of the diagonals is 8 cm long, find the length of the other diagonal

Q. The diagonals of a rhombus are $8$ cm and $10$ cm. Then the area of the rhombus is

1. $100c{m}^2$
2. $80c{m}^2$
3. $64c{m}^2$
4. $40c{m}^2$

Q. The lengths of the diagonals of a rhombus are 24 cm and 32 cm The perimeter of the rhombus is

1. 49 cm
2. 128 cm
3. 80 cm
4. 56 cm