Thearning A Learning Task 3: Find the area of each figures. 6 cm 4 m 13.5 m 2 m 6 cm 3 cm 4 m 3. 18 m 9 m 2. 1. 42 cm 42 cm 15 cm 42 cm 10 cm 70 cm 18 cm 5. 4.

## AREA OF THE FIGURES

- 303.75 m²
- 12 m²
- 45 cm²
- 165 cm²
- 4704 cm²

1. A=(13.5 m) (18) +1/2 ( 13.5 X 9)

=243+60.75

** =303.75 m²**

2. **Using the trapezoidal area formula**

** The formula A = 1/2 (a + b) h** is used to determine the area of a trapezoid, where a and b are the trapezoid’s bases (parallel sides) and the height of the trapezoid is h. (perpendicular distance between the bases).

A=1/2 (2+4) (4)

= 1/2 ( 6 X 4)

= 1/2 X 24

** = 12 m²**

3. A=(6 X 6) +1/2 X 3 X 6

=36 + 1/2 (18)

**=45 cm²**

4.** Applying the trapezoid formula**

A= [tex]\frac{b1+b2}{2}[/tex] X h

=[tex]\frac{15+18}{2}[/tex] X 10

** A=165 cm²**

5. Two quadrilaterals may be seen in the figure.

Rectangle’s surface area= width X length

The square’s area= Sides X Sides

A = 42 X 42 + 70 X 42

= 1764 + 2940

**= 4704 cm²**

### Trapezoid

A quadrilateral with only one pair of parallel sides is known as a **trapezoid **(which are known as bases). This suggests that the second set of sides could not be parallel (which are known as legs)

### Trapezoidal surface area

- The
**area of a trapezoid**is the total area covered by its sides. It’s worth mentioning that if we know the lengths of all the sides, we can simply split the trapezoid into smaller polygons. Calculate the areas of triangles and rectangles, then add them up to find the area of the trapezoid. - In square units, the number of unit squares that may fit within a
**trapezoid’s area**is measured (like cm2, m2, in2, etc).

### Trapezoid Formula Area

The** area of a trapezoid** may be calculated if the length of each parallel side and the distance (height) between them are known. The formula for calculating the area of a trapezoid is:

** Area of trapezoid = ½ (a + b) h**

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