Area of Complex Figures

Q. Find the area of the figure below.

1. $13{\text{m}}^2$
2. $15{\text{m}}^2$
3. $16{\text{m}}^2$
4. $13\text{m}$

Q. Find the area of letter E as shown in figure. The thickness is constant from all sides

1. $10{\text{m}}^2$
2. $13{\text{m}}^2$
3. $14\text{m}$
4. $21{\text{m}}^2$

Q. Find the area of shaded part of figure.

1. $3{\text{m}}^2$
2. $9{\text{m}}^2$
3. $6{\text{m}}^2$
4. $12{\text{m}}^2$

Q.

Consider the following two statements

Statement-1: If $s=\frac{a+b+c}{2}$, where $a,b,c$ are the sides of a triangle then the area of the triangle is $=\sqrt{(s-\mathrm{a})(\mathrm{s}-\mathrm{b})(\mathrm{s}-\mathrm{c})}$

Statement-2: We can calculate the area of a quadrilateral if its four sides and one diagonal is given.

Which of the following is correct?

1. Statement 1 is true and Statement 2 is false.

2. Statement 1 is false and Statement 2 is true.

3. Both the Statements 1 and 2 are true.

4. Both the Statements 1 and 2 are false.

Q.
Sara has designed the blades of a windmill as shown in the diagram above, the total area(in sq. cm) covered by the blades is.

1. 56

Q. Find the area of the unfolded envelope as shown in the figure given below. (Measures are given in inches.)

1. $72inc{h}^2$
2. $70inc{h}^2$
3. $44inc{h}^2$