Formula for Area of Rhombus

Q. Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of the diagonals is 8 cm long, find the length of the other diagonal.

Q.

The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm, is_________.

1. A rectangle of area 24

2. A square of area 25

3. A trapezium of area 24

4. A rhombus of area 24

Q. The area of rhombus whose perimeter is 48 cm and altitude is 8.5 cm.
Answer=102 cm

Q.

Find the area of the rhombus having each side equal to 10 cm and one of its diagonals equal to 12 cm.

1. $96c{m}^2$

2. $36c{m}^2$

3. $26c{m}^2$

4. $90c{m}^2$

Q.

If the diagonals of a rhombus get doubled, then the area of the rhombus becomes ___ its original area.

1. 8

2. 2

3. 4

4. 5

Q.

the area of a rhombus is 139.2 cm^2 and its altitude is 9.6 cm. Find the perimeter of the rhombus.

Q. the area of a rhombus is equal to the area of a triangle whose base and the corressponding altitude are 24.8 cm and 16.5 cm respectively. if one of the diagonals of the rhombus is 22cm, find the length of the other diagonal.

Q.

Find the area of a rhombus having diagonals of length 10 cm and 20 cm.

1. 100 cm²

2. 200 cm²

3. 400 cm²

4. 50 cm²

Q. What is the largest rhombus that can be drawn inside a rectangle of length 6 cm and breadth 4 cm?

1. $12c{m}^2$
2. $16c{m}^2$
3. $20c{m}^2$
4. $28c{m}^2$

Q.

The area of a rhombus of side 7 cm and altitude 8 cm is-

1. 56 sq.cm.
2. 65 sq.cm.
3. 44 sq.cm.
4. 59 sq.cm.

Q. The diagonals of a rhombus are in the ratio $3:4$. If its perimeter is $40cm$, find the length of the sides and diagonals of the rhombus.

Q.

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

1. $384c{m}^2$

2. $192c{m}^2$

3. $48c{m}^2$

4. $96c{m}^2$

Q. Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 CM if one of its diagonal is 8 cm long find the length of the Other diagonal

Q. At what angle do the diagonals of a rhombus bisect each other?

1. 90 degrees
2. 180 degrees
3. 80 degrees
4. 0 degrees

Q. a garden is in the form of rhombus whose side is 30 m and the corresssponding altitude is 16m. find the cost of levelling the garden at the rate of Rs 2 per m².

Q. The area of a rhombus is equal to the area of a triangle. If base of triangle is 24cm , its corresponding altitude is 16cm and one of the diagonals of the rhombus is 19.2cm. Find its other diagonal.

Q.

Which among the following is/are true?

1. Diagonals of a rhombus are perpendicular to each other but do not bisect each other.

2. Diagonals of a rhombus are perpendicular bisector of each other.

3. Diagonals of a parallelogram bisect each other.

4. Diagonals of a parallelogram are perpendicular bisector of each other.

Q.

The perimeter of a rhombus is 20 cm & its height is 3.5 cm. Find its area.

1. 20.5 sq. cm

2. 18.5 sq. cm

3. 17.5 sq. cm

4. 20 sq. cm

Q.

Select the statements that hold true.

1. Area of a rhombus whose diagonals are of lengths 12 cm and 15 cm = 90 square cm.

2. Area of a rhombus whose diagonals are of lengths 12 cm and 15 cm = 80 square cm.

3. Area of the rhombus having diagonals of length 10 cm and 20 cm = 100 square cm.

4. Area of the rhombus having diagonals of length 10 cm and 20 cm = 200 square cm.

Q.

Find the area of a rhombus whose side is $5cm$ and whose altitude is $4.8cm$. If one of its diagonal is $8cm$ long, 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

1. 4 cm

2. 9 cm

3. 23 cm

4. 6 cm

Q.

The area of the rhombus with length of each side as 7 cm and altitude as 8 cm is-

1. 65 sq.cm.

2. 44 sq.cm.

3. 59 sq.cm.

4. 56 sq.cm.

Q. Find the area of the rhombus , the length of whose diagonals are $12dm$ and $17dm$.

Q. Which of the following is not the property of a rhombus?

1. Diagonals are equal
2. All sides are equal
3. Diagonals bisect each other
4. Opposite angles are equal

Q.

Diagonals in a rhombus

1. are perpendicular bisector of one another

2. bisect each other

3. are perpendicular to each other

4. are equal

Q.

The diagonals of a rhombus bisect each other at right angles.

1. True

2. False

Q.

Let PQRS be a rhombus, with PR = 15 cm and QS = 8 cm. Find the area of the rhombus.

Q. The area of a rhombus is 84 m². If its perimeter is 40 m, then find its altitude.

Q. Which of the following is not the property of a rhombus?

1. Diagonals bisect each other
2. Diagonals are equal
3. Opposite angles are equal
4. All sides are equal

Q.

Which of the following is/are true about the diagonals of a rhombus?

1. Diagonals are equal in length.

2. Diagonals are perpendicular to each other.

3. Diagonals are bisectors of each other.

4. Only one of the diagonals bisect the other.