Perimeter and Area of Rectangles

Designed by: Melanie B. Moorer    School: Dreher High School 

Grade Level: 9-1 0    Subject: Mathematics (Geometry)

Core Curriculum Objective: Apply formulas for the perimeter and area of rectangles. 

Overview:  Students will work independently and in small groups to develop strategies to find the perimeter and area of rectangles and apply their knowledge in everyday situations. Students will use various instructional strategies such as: demonstrations, presentations, critical thinking, and deduction. As a cuhninating assessment, students will find the perimeter and area of the classroom we are in. 

Purpose/Essential Question(s):  How do you find the perimeter and area of a rectangle? 

Time Frame: This lesson is designed for one ninety-minute class period. 

Resources and Instructional Materials: 

Geometry: An Integrated Approach 
D. C. Heath and Company 
Lexington, Massachusetts / Toronto, Ontario 
Pages 533-538 

Transparencies 

Overhead Projector

Tape measures

Poster board

Rulers 

Calculators 



Bell-Work: (work to be done when the student enters the class before the tardy bell) 

Have students copy the following formulas for the perimeter and area of a rectangle: 

Perimeter = 2b + 2h        Area = bh 

Work through the following teacher-led examples: 

1. Let  the rectangle ABCD have side lengths AB = 4 and BC = 5. Draw the indicated rectangle then find the perimeter and area of the rectangle. 

2. Find the area of tennis court whose length is 44 feet and width is 20 feet. 

Activity One: 
Have students work independently on Worksheet A for 15 minutes. Then let the students get with their partner (already selected by the teacher when designating collaborative pairs) compare work and reach a consensus on what the correct answers are. After another ten minutes, randomly select student pairs to come up and find distances on the overhead for the class to see. 

For homework, give the students some problems similar to those on Worksheet A. 

Activity Two 
Pair students with a partner. Students will receive Culminating Activity  Sheet and the rubric for this lesson. In this activity, the students will demonstrate their ability to find the perimeter and area of rectangles by finding the perimeter and area of the classroom. The students will follow the steps on the sheet. The teacher will evaluate the culminating -assessment with the following rubric: 

    

Worksheet A 
Finding Perimeter and Area Date 
(Click here for an Adobe Acrobat version of this worksheet)

Name:__________________________________

Date:______________________________

Find the perimeter and area of the following figures. 

Complete the following statements with always sometimes, or never. 

7. Two rectangles that have the same area___________ have the same perimeter. 

8. Two polygons that have the same perimeter_____________ have the same area. 

9. Two rectangles with the same area and the same perimeter are_______________ congruent. 

10. Two congruent rectangles________________ have different areas. 

Culminating Activity for the Perimeter
and Area of Rectangles 
(Click here for an Adobe Acrobat version of this worksheet)

Name: __________________________________

Materials Needed: Tape Measure, Poster Board, Ruler, Calculator 

Procedures: 

I. Meet with your partner and begin to measure the dimensions of the classroom. 

2. Design your classroom on the piece of poster board. Remember to draw it to scale. 

3. Label the base and the height of the classroom. 

4. Use your perimeter and area formulas to determine each for the classroom. 

5. On the back of the poster board, make sure to show all your work when using the formulas! 

**Make sure you put your name and your partner's name on the back of the poster board! You'll be presenting these to the class, so be familiar with your results and -how you got them.