Area of Plane Figures

Q. If $y=\sqrt{\sqrt{7}+7+\sqrt{8+2\sqrt{7}}}-\sqrt{7}$, then find the value of $y$. [3 marks]

Q.

If $\sqrt{5}$ and $\sqrt{2}$ are the length and width of a rectangle, then find the area of the rectangle.

1. 2.1622 square units

2. 3.1652 square units

3. 3.1622 square units

4. 4.1622 square units

Q.

The triangle BDC is right angled. If BD measures $2\sqrt{2}$ cm, what is the area of the square?

1. 2 $c{m}^2$

2. $2\sqrt{2}c{m}^2$

3. 4 $c{m}^2$

4. $\sqrt{2}c{m}^2$

Q.

In the given figure, what is the area of the triangle ACD?

1. $2m^2$

2. $\sqrt{2}{m}^2$

3. $1m^2$

4. $2\sqrt{2}{m}^2$

Q.

Find the area of the $△$AEF if EF = 1 m.

1. $2m^2$

2. $4m^2$

3. $1m^2$

4. $\sqrt{2}{m}^2$

Q.

Find the Area of the Square ADEC given in the figure.

1. 2$\sqrt{2}$ square units

2. $\sqrt{2}$ square units

3. 2 square units

4. 4 square units

Q.

In the given figure an equilateral triangle has been cut into two equal parts.

What is the area of the 1st part ?

1. $\frac{\sqrt{3}}{2}$ sq. units

2. $\sqrt{3}$ sq. units

3. 2$\sqrt{3}$ sq. units

4. 3 sq. units

Q.

If AB = 2 m, Find the Area of the $△$ EOA. E is the midpoint of AB.

1. $\frac{1}{4}{m}^2$

2. $\frac{1}{2}{m}^2$

3. $1m^2$

4. $\frac{3}{4}{m}^2$

Q.

What is the Area of the triangle ACD?

1. $3\sqrt{2}{m}^2$

2. $2m^2$

3. $2\sqrt{3}{m}^2$

4. $2\sqrt{2}{m}^2$

Q.

If $\sqrt{0.5}$ and $\sqrt{8}$ are the length and width of a rectangle, then find the area of the rectangle.

1. 2.8 square units

2. 2 square units

3. 3 square units

4. 1.8 square units