11.1 notes

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11.1 Area of Parallelograms & Triangles HW pg. 723 #426 evens 1 March 24, 2014 11.1 Areas of Triangles & Parallelograms Objectives: 1. To develop the concept of area. 2. Apply area formulas to solve problems. Formula for: Area of a Rectangle: A = bh The base and height are always perpendicular to each other. What is area? Rules for Using Formulas: 1. Always state the formula you are using first! 2. Identify the knowns & unknowns for each variable in the formula. 3. Plug the knowns into the equation. 4. Solve for the unknown using algebra. 5. Be sure to include a label with your answer. A = _____ 10.5m 22m Find the area of the rectangle: 6m 12m 20m Area of a Parallelogram: A = bh The altitude will be perpendicular to the base. A = _____ Find the area of the parallelogram: Area of a Triangle = 1/2bh h b Find perimeter and area of the triangle. 8 17 10 21 P = 48 units A = 84 units 2 Base & height are always perpendicular to each other! Triangles can have multiple appearances: Find the height of the parallelogram. x 20 m Area = 100 m 2 Find the area of the rectangle. 18 m y Perimeter = 50 m

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Page 1: 11.1 notes

11.1 Area of Parallelograms & Triangles

HW pg. 723 #4­26 evens 1

March 24, 2014

11.1 Areas of Triangles & ParallelogramsObjectives: 1. To develop the concept of area.2. Apply area formulas to solve problems.

Formula for:Area of a Rectangle: A = bh

The base and height are always perpendicular to each other.

What is area?

Rules for Using Formulas:1. Always state the formula you are using first!2. Identify the knowns & unknowns for each variable in the formula.3. Plug the knowns into the equation.4. Solve for the unknown using algebra.5. Be sure to include a label with your answer.

A = _____

10.5m22m

Find the area of the rectangle:

6m12m

20m

Area of a Parallelogram: A = bhThe altitude will be perpendicular to the base.

A = _____Find the area of the parallelogram:

Area of a Triangle = 1/2bh

h

b

Find perimeter and area of the triangle.

817

10

21

P = 48 unitsA = 84 units2

Base & height are always perpendicular to each other!

Triangles can have multiple appearances:

Find the height of the parallelogram.

x

20 m

Area = 100 m2

Find the area of the rectangle.

18 m

y

Perimeter = 50 m

Page 2: 11.1 notes

11.1 Area of Parallelograms & Triangles

HW pg. 723 #4­26 evens 2

March 24, 2014

Find the area and perimeter of the shaded region.

18m

15m

10m

9m 8cm

6cm

3cm

1cm

5cm

11cm

P = 66 mA = 222 m2

P = 38 cmA = 77 cm2

HW:

11.1 pg. 723 #4-26 evens