Finding Area and Perimeter

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Slide 1: 

1 This pool measures 25 ¼ feet by 80 feet. What is the perimeter of the pool?

Objective : 

2 Objective Solve real-world problems involving area and perimeter.

Determining Perimeter : 

3 Determining Perimeter

Slide 4: 

4 Equation: P = 15 + 12 + 13 P = 30 m Tom is going to put a fence around his rock garden. His garden is in the shape of a triangle with the sides measuring 15 m, 12 m and 13 m. How much fence does he need?

Slide 5: 

5 6 + 7 + 8 + 8 = P P = 29 inches

Finding the Area? : 

6 Finding the Area? How do you find the area of a square? How do you find the area of a rectangle? How do you find the area of a triangle?

Formulas : 

7 Formulas Triangle = ½ x base x height Rectangle = length x width Square = s2

Area of a Triangle : 

8 Area of a Triangle Calculate the area of each triangle. 5 cm 3 cm 10 ft 12 ft 13 ft 13 ft 4 cm

Area of a Rectangle : 

9 Area of a Rectangle Calculate the area of each rectangle. 4 ft 7 m 12 ft 5 m

Area of a Square : 

10 Area of a Square Calculate the area of the square.

Area of a Square : 

11 Area of a Square Calculate the area of each square. 2 cm

Area of a Rectangle : 

12 Area of a Rectangle Calculate the area of the rectangle by multiplying length times width. A = L × W = 9 × 3 = 27 cm2

Area of a Triangle : 

13 Area of a Triangle Area = ½ × base × height height base base height

Area of a Triangle : 

14 Area of a Triangle Area = ½ × base × height 10 in 4 in 6 m 8 m A = ½ × 6 × 8 = 3 × 8 = 24 m2 A = ½ × 4 × 10 = 2 × 10 = 20 in2

Triangle vs. Rectangle : 

15 Triangle vs. Rectangle Base = length Height = width Area of Triangle = ½ of Area of Rectangle = ½ (L × W) or ½ (base × height)

Example : 

16 Example A typical size for a photograph is 8 × 10 inches. What is the area of the photo?

Example : 

17 Example Mr. Liddle is re-painting his chalkboard and needs to know its area in order to buy enough paint. His chalkboard is 4 ft tall and 6 ft long. What is the area of the chalkboard?

Demonstration : 

18 Demonstration Marie is making a quilt by cutting fabric squares diagonally across into triangles. What is the area of each triangle created from a 4-inch square? 4 in 4 in 4 in

Demonstration : 

19 Demonstration Area of triangle = ½ × base × height = ½ × 4 × 4 = 8 in2