Example #1: Find the area and perimeter of each figure below:

Area: _________________ Area:_________________________

Perimeter:_______________________ Perimeter:__________________________

Example #2: Find the area & perimeter of each irregular shape.

Area: _________________ Area:_________________________

Perimeter:_______________________ Perimeter:__________________________

Example #3: Calculate the length and perimeter.1) A rectangle has an area of 195 square feet and a

width of 13 feet. Find the length and perimeter.

2) A rectangle has an area of 1248 feet and a length of 24 feet find the width and perimeter.

You Try…Question #1: Area: _______________ Perimeter: ______________________

Question #2: If the area of a rectangle is 3120 square feet and the width is 65 feet, find the perimeter and the length.

Unit 3B Lesson 2: Maximize Area & Minimize PerimeterExample: Use the figure to answer the questions below:

a) What is the perimeter?

b) What is the area?

c) Find the length of each side if the perimeter is 80 cm.

You Try….

d) What is the perimeter?

e) What is the area?

f) Find the length of each side if the perimeter is 80 cm.

Facts: 1) Maximum Area for a rectangular shape for a given perimeter is

ALWAYS a square.2) The least amount perimeter comes from sum of the sides of a

square.

Maximize Area = ( Perimeter4)2

Minimize Perimeter = 4 (√Area)

Example: Maximizing Area1) Find the largest possible rectangular area you can enclose

with 96 meters of fencing. What are the dimensions?

Example #2: Minimizing Perimeter1) If you are given an area 625 square yards. Find the least

amount of perimeter that will needed to have this area.

You Try…1) Find the largest possible rectangular area you can enclose

with 324 meters of fencing. What are the dimensions?

2) If you are given an area 289 square meters. Find the least amount of perimeter that will needed to have this area.

Unit 3B Lesson 3: Coordinate ConnectionsFormulas you not forget…..

Proving a Quadrilater is a Parallelogram – show ONE pair of sides is BOTH parallel AND congruent

Example #1:

Proving a Quadrilateral is a Rectangle Show CONSECUTIVE sides are Perpendicular (Slope) Show OPPOSITE sides are congruent (distance)

Example #2:

You Try…

Unit 3B Lesson 4: Surface Area

L- List what you know

I-Inquire about what you want to know

N- Time for notes

K-What do you know now?

Example #1: Find the surface area

Example #3: Area Word Problems

Example 4: Surface Area word problems

Unit 3B Lesson 5: Volume

L- List what you know

I-Inquire about what you want to know

N- Time for notes

K-What do you know now?

Example #1: Find the volume.

Example #2: Volume Word problems

3) Two rectangles have volumes 350 mL3 and 155 mL3, respectively. Find the ratio of their volumes.

4) 4 metal cylinders with a radius of 5 cm and a height of 6 cm is melted and poured into rectangular prism. What is the volume of the prism?

Formulas to know…