1. Area
Area problems involve finding the surface area for a two-dimensional figure.

2. Area
Area problems involve finding the surface area for two-dimensional figures.
What is surface area: it is the amount of space on the front of a two-dimensional figure. Suppose you were painting a wall, you would need to know the surface area so you would know how much paint to buy.

3. Two-Dimensional
Two dimensional means a shape has only two measurements: either length and width, base and height, etc.
Example: the Area formula for a rectangle is:
A = lw or Area = length times width
You used two dimensions to calculate with.
What dimension you don’t calculate is depth.

4. What Shapes? We will be calculating area for: Squares Rectangles
Rhombus
Parallelogram
Trapezoid
Triangle
Circle

5. Square The area formula for a square is: s²
That is side squared. Remember all sides of a square are equal
Example: the area for a square with sides of 5 inches: A = 5² or 25 inches²

6. Rectangle The area formula for a rectangle is: A = lw
That means A = length times width
Example: a rectangle with a length of 20 feet and a width of 10 feet: A = 20 • 10 or 200 ft.²

7. Rhombus & Parallelogram
They have the same area formula:
A = bh or Area = base times the height
The base and height will be marked so you can calculate very easily.
Example: a parallelogram with a base of 10 cm and a height of 4 cm = A = 4 • 10 = 40cm²

8. Trapezoid
The area formula for a trapezoid is the most difficult: ½h(b₁ + b₂)
That is half (.5) the height times the sum of the top base and the bottom base.

9. Circle Area formula for a circle: A = πr² Remember: pi = 3.14 (π)
r = radius²
Example: circle with a radius of 3 inches:
3.14 • 3² = 3.14 • 9 or in.²

10. Triangle Area formula for a triangle: A = ½bh or
Area = one half (.5) the base times the height
Example: a triangle with a base of 12 mm and a height of 10 mm = .5 • 12 • 10 = 60mm²

11. Area Is it a useful problem especially if you are:
In the field of construction
In the field of roofing
In the field of plastering or painting
In the field of sewing, designing