Area of Mixed Shapes

Q. A 10 sided polygon is called ______.

1. pentagon
2. heptagon
3. octagon
4. decagon

Q.

Find the area of the shaded part in the figure given below. (Take $\pi$ = $\frac{22}{7}$)(All the dimensions are in cm)

1. 11 cm${}^2$

2. 10.5 cm${}^2$

3. 9.5 cm${}^2$

4. 11.5 cm${}^2$

Q.

In the following figure, the area of the total cloth required is $80c{m}^2$ and the area of the yellow cloth required is $60c{m}^2$. If the red coloured parts are congruent with each other and the blue cloth is $\frac{1}{{10}^{th}}$ of the yellow cloth, what is the area of the red cloth required?

1. 6 cm²

2. 8 cm²

3. 12 cm²

4. 14 cm²

Q. A 10 sided polygon is called ______.

1. pentagon
2. heptagon
3. octagon
4. decagon

Q. In the figure given below, ABCD is a parallelogram. ABE is a right-angled triangle whose area is 32 cm${}^2$. Find the area of the parallelogram.

1. $128c{m}^2$
2. $32c{m}^2$
3. $320c{m}^2$
4. $224c{m}^2$

Q.

There is a square park in the society. The management wants to put a circular fountain at the centre of the park with diameter 14 m. The remaining area is to be covered with grass. If the cost of laying grass is ₹ 20 per $m^2$ and the cost of constructing the fountain is 10 per $m^2$ . Find the length of the field if the total cost incurred is ₹ 6460 .( Use π = 22/7)

___

Q.

In Andy’s land problem, the shape of the land is a polygon.

1. True

2. False

Q. A wire, when bent in the form of a square, encloses an area of $196c{m}^2$. If the same wire is bent to form a circle, then area of the circle is $249.45c{m}^2$

Q.

In Andy’s land problem, is the shape of the land a polygon?

1. True

2. False

Q.

Find the area of the given figure.

1. 37 units

2. 37 sq units

3. 72 sq units

4. 72 units
   

Q.

The area of the given figure is ____ $c{m}^2$​. (Both the ends are semi-circular) (All dimensions in cm and $\pi$ = 22/7)

___

Q.

Find the area of the given figure.

1. 70 sq unit

2. 70 units

3. 72 sq unit

4. 72 units

Q. From a circular sheet of radius $4\text{cm}$, a circle of radius $3\text{cm}$ is removed. Find the area of the remaining sheet. (Take $\pi =3.14$)

Q. The perimeter of a triangle is $9m^2-2n+8$ and its two sides are $4m^2+3n$ and $7m^2+5n-12$. Find the third side of the triangle.

1. $m^2-10n-10$
2. $-2m^2-10n+20$
3. $-2m^2-14n+20$
4. $m^2-10n+10$

Q.

Find the area of the given figure.

1. 72 units
   

2. 37 sq units

3. 72 sq units

4. 37 units