Area of Irregular Shapes Using Graphical Method

Q. Calculate the area of a rhombus having diagonals equal to 6 cm and 8 cm respectively.

Q. The diagonals of a rhombus are 48cm and 20cm. Find the area and perimeter of the rhombus.

Q. The side of a rhombus is 25 m and length of one of its diagonals is 48 m. The area of the rhombus is ____

1. 168 sq. m
2. 336 sq. m
3. 600 sq. m
4. 672 sq. m

Q. In a quadrilateral ABCD, AB = 28 cm, BC = 26 cm, CD = 50 cm, DA = 40 cm and diagonal AC = 30 cm. Find the area of the quadrilateral.

Q.

The area of a rhombus is 54 cm². If length of one of its diagonals is 9 cm, then what is the length of the other diagonal?

1. 24 cm

2. 12 cm

3. 11 cm

4. 22 cm

Q.

Find the area of a rhombus whose diogonals are 40cm and 25 CM.

Q. What is the area of a rhombus with diagonals 7 cm and 12 cm?

1. 42 sq. cm
2. 21 sq. cm
3. 32 sq. cm
4. 84 sq. cm

Q.

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

Q. Find the area of the quadrilateral PQRS.

1. 690 sq. m
2. 710 sq. m
3. 890 sq. m
4. 970 sq. m

Q. Question 5
The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.

Q. Find the area of rhombus if the length of each side is 10 cm and the corresponding angle is 6 cm

Q. Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonal is 8 cm long .Find the length of the Other diagonal.

Q.

Find the area of a rhombus, one of whose sides is 25 cm & one of whose diagonals is 48 cm.

1. 366 sq. cm

2. 196 sq. cm

3. 633 sq. cm

4. 336 sq. cm

Q.

The diagonals of a rhombus are 18 cm and 10 cm. Find its area.

1. 180 sq. cm

2. 100 sq. cm

3. 90 sq. cm

4. 45 sq. cm

Q. A RHOMBUS HAS A SIDE OF MEASURE 6.5cm.A DIAGONAL ISGIVEN OF LENGTH 13cm. FIND THE AREA OF THE RHOMBUS AND MEASURE OF OTHER DIAGONAL.

Q.

The diagonals of a rhombus are 16 cm and 12 cm, then the area of rhombus is:

1. 12 cm²

2. 14 cm²

3. 90 cm²

4. 96 cm²

Q. If perimeter of a rhombus is 100 cm and length of one diagonal is 48 cm, what is the area of the rhombus?

Q.

The area of a rhombus is equal to the area of a 🔺^le . If the base of the triangle is 24 cm, it's corresponding altitude is 16 cm and one of the diagonal of three rhombus is 19.2 cm. Find it other diagonal.

Q.

Find the area of a rhombus whose diagonals are of lengths 12 cm and 15 cm. [1 MARK]

Q. Find the area of rhombus whose diagonols are 16 cm and 24 cm.

lAnswers is 192 cm sq.

Q. Find the ratio of the total area of the grid shown below to the approximate area covered by the pizza if the side of smallest square is 1 cm and each such square is congruent?

1. 
   $6:5$
2. 
   $4:3$
3. 
   $5:3$
4. 
   $7:3$

Q. Area of a rhombus is 1200 sq cm. One of its diagonal is 20 cm. Find the another diagonal

Q.

The area of a rhombus is 96 cm² and one of the diagonals is 12 cm. Find the other diagonal.

1. 8 cm

2. 4 cm

3. 6 cm

4. 16 cm

Q.

If each side of a rhombus is doubled, how much will its area increase?

1. $1.5$ times

2. $2$ times

3. $3$ times

4. $4$ times

Q. Find the area of a quadrilateral ABCD in which AB = 3 cm , BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

Q.

The area of a rhombus is 54 cm². If length of one of its diagonals is 9 cm, then what is the length of the other diagonal?

1. 11 cm

2. 22 cm

3. 24 cm

4. 12 cm

Q. If the diagonals of a rhombus are 29 cm and 14cm, then what is the area of the rhombus?

1. 205 $c{m}^2$
2. 204 $c{m}^2$
3. 203 $c{m}^2$
4. 201 $c{m}^2$

Q. The area of a rhombusvis 240 and one diagonal is 16 fine the other diagonal

Q. If $y=a+\frac{b}{x}$, where $a$ and $b$ are constants, and if $y=1$ when $x=-1$, and $y=5$ when $x=-5$, then $a+b$ equals.

1. $-1$
2. $0$
3. $1$
4. $10$
5. $11$

Q. What is the area of a rhombus with diagonals 7 cm and 12 cm?

1. 84 sq. cm
2. 42 sq. cm
3. 21 sq. cm
4. 32 sq. cm