Area and Perimeter of Different Shapes

Q. Find the area of the shaded region in the figure given below.

1. $48.56m^2$
2. $49.85m^2$
3. $50.75m^2$
4. $52.68m^2$

Q. Find the perimeter of the square if the area of the given square is 256 $c{m}^2.$

1. 8 cm
2. 16 cm
3. 32 cm
4. 64 cm

Q. If sides of a right-angled triangle are in ratio 3:4:5 and its perimeter is 48 cm, then value of area in $c{m}^2$ is ___.

1. 30
2. 45
3. 135
4. 96

Q.

If the perimeter of a rhombus is $4a$ and the lengths of the diagonals are $x$ and $y$, then its area is

1. $a(x+y)$

2. $x^2+y^2$

3. $xy$

4. $\frac{xy}{2}$

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. If area of a square plate is 100 m², then what is the side length of the square plate and its perimeter respectively?

1. 10 m, 30 m

2. 5 m, 40 m

3. 10 m, 40 m

4. 10 m, 20 m

Q. If perimeter of a rectangle is 14 cm and length is 5 cm then find the area of the rectangle.

1. 7 $c{m}^2$
2. 10 $c{m}^2$
3. 20 $c{m}^2$
4. 45 $c{m}^2$

Q.

If the length of a rectangle is "l” and width is "b”, then perimeter of the rectangle will be:

1. l+b

2. 2l+b

3. l+2b

4. 2(l+b)

Q.

If the side of a square is $a$, then area and perimeter can be found by using the formulae _____.

1. $a^2$, 4a

2. $a^2$, 2a

3. 2$a^2$, 4a

4. 2$a^2$, 2a

Q. A rectangle with all its sides equal is a _________.

1. trapezium
2. square
3. circle
4. triangle

Q.

Find area of the parallelogram of base 10 cm & altitude 5 cm as shown in the figure.

1. $25c{m}^2$

2. $50c{m}^2$

3. $100c{m}^2$

4. $45c{m}^2$

Q.

The perimeter of a rectangle is $42\mathrm{cm}$ . If its length is $13\mathrm{cm}$ then its area is ________${\mathrm{cm}}^2$

Q. Data collection in a survey shows that $40$ of the buyers are interested in buying a particular brand of toothpaste. The central angle of the sector of the pie chart representing this information is

1. ${120}^o$
2. ${150}^o$
3. ${144}^o$
4. ${40}^o$

Q. Thomas bought 12 rectangular grass beds measuring 9 cm by 5 cm. When he arranged them on his lawn, 5 beds were left unused. Find the area of the lawn.

1. 45 cm${}^2$
2. 225 cm${}^2$
3. 315 cm${}^2$
4. 540 cm${}^2$