Geometry/Trig

Name: __________________________________ Date: ___________________________________

Lesson 4-5: Area of Familiar Polygons

Check-In Area Formulas Quiz

Directions: In the space provided, state the area formula for each of the following shapes.

1. Rectangle

Area formula:

2. Circle

Area formula:

3. Square

Area formula:

4. Triangle

Area formula:

5. Parallelogram

Area formula:

Geometry/Trig

Name: __________________________________ Date: ___________________________________

Lesson 4-5: Area of Familiar Polygons

Learning Goals: #4: What is area and how do we calculate area of familiar polygons? What is the

difference between units and units2?

For each figure below, find its perimeter and find its area:

1. Rectangle

Area:____________________

2. Parallelogram

Area:____________________

3. Triangle:

Area:____________________

4. Square:

Area:____________________

Geometry/Trig

5. Circle: (leave your answers in terms of Pi)

Area:__________________

6. Extend your thinking… Semi-Circle: (leave your answers in terms of Pi) Area:__________________

WHAT DO WE REMEMBER ABOUT DOUBLE DISTRIBUTION (BOX METHOD)?

Watch Me: (2x-5)(x+3) You Try: (3x+1)(x-2)

Geometry/Trig

Let’s try some more! 1. Consider the following figure:

a. Determine the perimeter of the figure above. b. Determine the area of the figure above.

2. A parallelogram has a base of 4x-3. Its height is represented by 3x. Determine the area in terms of x.

On your Own!

3. Calculate the area of the triangle:

4. Calculate the area of the parallelogram:

Geometry/Trig

5. Calculate the area of the circle to the nearest10th:

6. Calculate the area of the rectangle:

7. A triangle has a base represented as 3x + 2, two legs represented as 4x, and a height represented

by 2x. Determine the area in terms of x. (HINT: It may help to draw a picture!)

Geometry/Trig Name: _________________________________

Date: _________________________

Lesson 4-5: Homework

1. Calculate the area of the rectangle:

2. Calculate the area of the circle to the nearest10th:

3. Calculate the area of the triangle:

4. If a square’s side can be represented by s, what algebraic expression would represent its… a) perimeter?

b) area?

Hint! 1. Draw a picture based on the given information. 2. Label all of the sides, and then try to write an expression!

Geometry/Trig

5. a) Find the area of the square shown below:

b) Find the perimeter of the square shown below:

6. Find the perimeter of the polygon, leave in simplest radical form.