Aim: Area: Rectangle & Square Course: Applied Geo. Do Now: Aim: How do we solve area problems involving squares and rectangles?

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Presentation transcript:

Aim: Area: Rectangle & Square Course: Applied Geo. Do Now: Aim: How do we solve area problems involving squares and rectangles?

Aim: Area: Rectangle & Square Course: Applied Geo. Area Area: the space enclosed within Measured in square units s = 7 Square 49 sq. units Area of a square = s s = s 2 s = 7 Area of square = 7 7 = 49 units 2 1 square unit

Aim: Area: Rectangle & Square Course: Applied Geo. Area of Rectangle Area of a Rectangle w = 4 l = 9 36 sq. units Area of a rectangle = l w Area of rectangle =9 4 = 36 units 2

Aim: Area: Rectangle & Square Course: Applied Geo. Model Problem If the area of a square or rectangle with the given side lengths: a)s = 15 cm. b)s = 3 km. c)w = 8 in. and l = 10.5 in. Find the length of one side of a square with the given area: a) 81 cm 2 b) 60 ft 2 Find the length of a rectangle given the area and width a)A = 64 cm 2 and w = 4 cm. b)A = 125 yd 2 and w = 10 yd. 225 cm 2 9 km 2 84 in 2 9 cm l = 16 cm l = 10.5 yd

Aim: Area: Rectangle & Square Course: Applied Geo. Model Problem If the area of a square is 49 feet 2, find the perimeter. A. of Square = s s or s 2 49 = s 2 7 = s Perimeter of square = s + s + s + s = 4s Perimeter of square = 4(7) = 28 feet If the length of a rectangle is represented by 2x – 3, and its width is represented by 3x, what is the area of the rectangle in terms of x? Area of Rectangle = l w Area of Rectangle = 3x(2x - 3) Area of Rectangle = 6x 2 - 9x

Aim: Area: Rectangle & Square Course: Applied Geo. Model Problem The Lugo family is tiling their kitchen floor. How many square feet of tile will they need?

Aim: Area: Rectangle & Square Course: Applied Geo. Model Problem Dharma purchased a bag of lawn food that covers 5,000 square feet. Her yard is 75 ft x 30 ft. How many complete applications does she have? How many square feet in a square yard?