Area of Rhombus

Q.

The floor of a building consists of $3000$ tiles which are rhombus shaped and each of its diagonals are $45cm$ and $30cm$ in length. Find the total cost of polishing the floor, if the cost per $m^2$ is $Rs.4$.

Q.

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

Q.

Find the area of rhombus whose each side is equal to $15cm$ and one of its diagonal is $24cm$?

Q.

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

Q.

The diagonals of a rhombus are 16 cm and 12 cm. Find its area.

1. $96c{m}^2$

2. $16c{m}^2$

3. $86c{m}^2$

4. $76c{m}^2$

Q.

The area of a rhombus is 240 $c{m}^2$ and one of the diagonal is 16 cm.Find another diagonal.

Q.

A field in the form of a rhombus has each side of length 64 m and altitude 16 m.What is the side of a square field which has the same area as that of a rhombus ?

Q. A field is in a form of rhombus having each side as 81 and altitude 25 m.what is the side of the square field which has the same area as that of the rhombus?

Q.

Question 32

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

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

Q.

The area of a rhombus and that of a square are equal. The side of the square is 6 cm. If one of the diagonal of the rhombus is 4 cm, then the length of its other diagonal is ______ .

1. 10 m

2. 15 m

3. 8 cm

4. 18 cm

Q.

Find the altitude of a rhombus with perimeter $48cm$ and area $360c{m}^2$.

Q. Question 7
The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per $m^2$ is Rs 4.

Q.

Question 17

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

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

Q.

Find the area of the field in the form of a rhombus, if the length of each side be 14 cm and the altitude be 16 cm.

Q.

A garden is in the form of a rhombus whose side is 30 meters and the corresponding altitude is 16 m.Find the cost of levelling the garden at the rate of Rs.2 per $m^2$

Q. The area of the rhombus is 48 $c{m}^2$, If the diagonals of rhombus are in ratio 3:2, then find the length of each diagonal.

1. 8 cm, 6 cm
2. 9 cm, 6 cm
3. 10 cm, 8 cm
4. 12 cm, 8 cm

Q. Find the area of rhombus ABCD, if AC = 10 cm and BD = 6 cm.

1. 16 $c{m}^2$
2. 30 $c{m}^2$
3. 32 $c{m}^2$
4. 60 $c{m}^2$

Q. Area of a rhombus is 120 square units. If the lengths of the diagonals are 10 units and (7x + 3) units, then find the value of x.

1. 3 units
2. 6 units
3. 5 units
4. 7 units

Q. The floor of a building consists of $3000$ tiles which are rhombus shaped. The diagonals of each of the tiles are $45cm$ and $30cm.$ Find the total cost of polishing the floor, if cost per $m^2$ is $Rs.2.50.$

Q. a field in the form of a rhombus has each side length of 64m and altitude 16m. what is the side of a square field which has the same area as that of the rhombus.

Q.

Question 46

Area of a rhombus $=\frac{1}{2}$ product of ___

Q.

Find the area of a rhombus, each side of which measures 20 cm and one of whose diagonals is 24 cm.

Q. Find the area of rhombus ABCD, if AC = 10 cm and BD = 6 cm.

1. 16 $c{m}^2$
2. 30 $c{m}^2$
3. 32 $c{m}^2$
4. 60 $c{m}^2$

Q.

What is the area of the rhombus ABCD below if AC=12 cm and BE= 8 cm?

1. 384 cm²

2. 192 cm²

3. 48 cm²

4. 96 cm²

Q. Find the area of a rhombus whose diagonals are of length $10cm$ and $8.2cm$

Q. The area of a rhombus with diagonals lengths as 7.5 cm and 12 cm is ______________.
[1 mark]

Q. If The perimeter of a rhombus is $40cm$. If the difference in the diagonal is $4cm$, find the area of the rhombus.

Q. Find the area and perimeter of a rhombus if its diagonals are $12cm,16cm$ and its side is $10cm$.

Q. Length of the diagonals of a rhombus are $15cm$ and $24cm,$ find its area.