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
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
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
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
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
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
Area of a Circle #7 6 in = 3.14 or 22 7
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
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
ANOTHER WAY: Area of a Trapezoid COMPOSITE FIGURES #10 Area 20 m 13 m 12 m 5 m 25m Perimeter P = 12 + 20 + 13 + 25 P = 70 m ANOTHER WAY: Area of a Trapezoid A = (b1 + b2) x h 2
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)
Area & Perimeter of a Triangle # 12 5 cm 6 cm Area 3 cm 9 cm Perimeter P = a + b + c P = 5 + 6 + 9 P = 20 cm copyright©amberpasillas2010
#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
Teacher Note: The following study guide slides were taken from the lesson on Perimeter and Area review under the PERIMETER FOLDER
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
#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!
#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