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Area of a Rectangle & Square

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1 Area of a Rectangle & Square
#1 Area of a Rectangle & Square The Area of a figure is the number of square units needed to cover it. A = 2 3 6 square units 6 units2 2 3 Square Rectangle 8m 4 8m 5

2 copyright©amberpasillas2010
#2 USING CORRECT UNITS PERIMETER: Is the distance around a figure. in + in + in + in = in AREA: Is the square units that cover a figure. length • width = in • in = in2 VOLUME: The number of cubic units inside a figure. length • width • height in • in • in = in3 squared width length height cubed width length copyright©amberpasillas2010

3 Area of a Parallelogram
# 3 To find the area for a parallelogram use what you know about area of a rectangle. A = base x height 3 in A = b x h 5 in A = 5 x 3 = 15 in2

4 Area of a Triangle # 4 A = base x height A = 8 x 6
A triangle is half the area of a rectangle. To find the area of a triangle you use the rectangle formula and divide it in half. A = base x height 2 6 m 8 m A = 8 x 6 = 24 m2 2

5 Area of a Trapezoid A = (b1 + b2) x h A = (4 + 5) x 3 2 A = (9) x 3 27
# 5 4 ft A = (base1 + base2) x height 3 ft 2 A = (b1 + b2) x h 5 ft 2 A = (4 + 5) x 3 2 A = (9) x 3 27 = = 13.5 ft2 2 2

6 Area of Polygons #6 The Area of a figure is the number of square units needed to cover it. Rectangle Parallelogram Triangle 7 4 8 7 5 5 10 8

7 Area of a Circle #7 6 in = 3.14 or 22 7

8 Given the Radius of a Circle
#8 Given the Radius of a Circle Round to the nearest hundredths place and include units! 5 ft Find the Circumference Find the Area

9 A= (Base1 + Base2) x Height
Area Formulas # 9 h Parallelogram A= Base x Height b b1 A= (Base1 + Base2) x Height h Trapezoid 2 b2 A= (Base x Height) h Triangle 2 b h Rectangle A= Base x Height b s Square A= Side x Side s

10 ANOTHER WAY: Area of a Trapezoid
COMPOSITE FIGURES #10 Area 20 m 13 m 12 m 5 m 25m Perimeter P = P = 70 m ANOTHER WAY: Area of a Trapezoid A = (b1 + b2) x h 2

11 Perimeter & Area Review
# 11 Perimeter & Area Review The Perimeter (P) is the distance around a figure. a c P= a+b+c units b The Area (A) of a figure is the number of square units needed to cover it. height A = 2 • 6 12 square units 12 units2 (h) base (b)

12 Area & Perimeter of a Triangle
# 12 5 cm 6 cm Area 3 cm 9 cm Perimeter P = a + b + c P = P = 20 cm copyright©amberpasillas2010

13 #13 Perimeter & Area of a Rectangle
The Perimeter of a figure is the distance around a figure. 5 in. 2 5 2 2 in. 2 in. + 5 5 in. 14 in. The Area of a figure is the number of square units needed to cover it. A = 3 • 2 6 square units 6 units2 2 3

14 Teacher Note: The following study guide slides were taken from the lesson on Perimeter and Area review under the PERIMETER FOLDER

15 Perimeter Examples Triangle Polygon Square Rectangle #9 P= a+b+c
h b P=a+b+c+d+e+f+g+h g c b f d e Square Rectangle P=2l+2w s l P=4s w w s s l s

16 #10 Perimeter of a Triangle
Perimeter: Distance around a geometric figure. When you add the sides, you are also adding the units. When you add units, your UNITS DO NOT CHANGE! You must include units in every answer!

17 #11 Perimeter of a Rectangle & Square
The Perimeter of a figure is the distance around a figure. 5 in. 2 5 2 2 in. 2 in. + 5 5 in. 14 in. Rectangle Square 4 8 ft 5 8 ft

18 http://www.mathslideshows.com Hello!
Thank you for downloading my Math Slideshow Powerpoint. I have over 175 animated Math Slideshows, 225 Math Warm Ups, Study Guides, Worksheets, and much more available on my website at I have attached the list below so you can see what is available. If you teach 5th-10th grade this is the place for you! Please check it out! Sincerely, Amber Pasillas

19 Math PowerPoint Slideshows Available
AREA FORMULAS $30 1. Area of a Rectangle & Square 2. Area of a Parallelogram & Triangle 3. Area of a Trapezoid 4. Area of a Circle Discovery WS 5. Area of Irregular Figures 6. Area of Composite Figures 7. Perimeter & Area Review DECIMALS $30 1. Rounding Decimals 2. Add and Subtract Decimals 3. Add & Subtract Negative Decimals 4. Multiply Decimals 5. Divide Decimals 6. Multiply & Divide Negative Decimals 7. Decimal Place Value, Perimeter & Area EQUATIONS $50 1. Equation Introduction 2. Add & Subtract One Step Equations 3. Multiply & Divide One Step Equations 4. Integers and Equations WS 5. Solve 2 Step Equations Using Algebra Tiles WS 6. Solve 2 Step Equations WS 7. Multi-Step Equations Combine Terms Day 1 8. Multi-Step Equations Translate Day 2 WS 9. Negative Coefficient Equations 10. Variables On Both Sides Equations Algebra Tiles WS 11. Distributive Property Equations WS 12. Equations Review EXPONENTS & POWERS $30 1. Exponents Introduction 2. Zero and Negative Exponents 3. Fractions with Negative Exponents 4. Multiplying Exponents 5. Factoring, Fraction Exponents 6. Divide Powers, Multiply & Divide Monomials 7. Exponent Review EXPRESSIONS $20 1. Evaluate Algebraic Expressions 2. Writing Algebraic Expressions 3. Combing Like Terms Algebra Tiles WS 4. Combine Terms & Properties Review 5. Terms, Evaluate, Perimeter & Area FORMULAS $15 1. Perimeter, Area, & Distance Formulas 2. Commission, Sales Tax & Leaving a Tip 3. Unit Analysis, Convert Units, Mass Formula 4. Simple Interest

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PERIMETER & CIRCUMFERENCE $15 1. Perimeter of Polygons 2. Circumference of a Circle Discovery WS 3. Circumference of a Circle Review 4. Perimeter & Area Review POINTS, LINES, PLANES & ANGLES $20 1. Points, Lines & Planes 2. Angles: Acute, Right, Supplementary, Com. 3. Measuring Angles With a Protractor 4. Parallel, Perpendicular & Skew Lines 5. Angles: Adjacent & Vertical, Transversal POLYGONS & CIRCLES $15 1. Classifying Triangles: Acute, Right & Obtuse 2. Quadrilaterals Introduction 3. Circles Introduction 4. Congruent Polygons PROBABILITY $15 1. Probability Introduction 2. Experimental Probability: Coin Toss WS 3. Probability: Roll & Add Two Dice WS 4. Probability Game: Rock, Paper & Scissors WS 5. Probability of Compound Events PROBLEM SOLVING $5 1. Problem Solving 2. Problem Solving Strategies PROPERTIES $25 1. Order of Operations 1 2. Order of Operations 2 3. Commutative, Associative & Identity Properties 4. Distributive Property Generic Rectangles WS 5. Combine Terms & Properties Review 6. Equations & Inverse Property RATIOS & PROPORTTIONS $30 1. Ratio, Rates & Unit Rate 2. Unit Rate & Unit Price 3. Writing Proportions 4. Dimensional Analysis Converting Units 5. Proportions Review 6. Similar Figures 7. Indirect Measurement 8. Unit Rate, Unit Analysis, Missing Units 9. Scale Drawings SCIENTIFIC NOTATION $5 1. Scientific Notation Day 1 2. Scientific Notation Day 2  SQUARES, SQUARE ROOT, PYTHAGOREAN $20 1. Square and Square Root 2. Estimating Square Roots 3. Discover Pythagorean Theorem WS 4. Pythagorean Theorem Day 2 5. Converse of Pythagorean Theorem

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