Aim: Area: Rectangle & Square Course: Applied Geo.

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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 Square49 sq.

units

Area of a square = s • s = s2

s = 7

Area of square = 7 • 7 = 49 units2

1 square

unit1 2 3 4 5 6 78

49

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 units2

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 cm2 b) 60 ft2

Find the length of a rectangle given the area and width

a) A = 64 cm2 and w = 4 cm.

b) A = 125 yd2 and w = 10 yd.

225 cm2

9 km2

84 in2

9 cm 60 ft

l = 16 cm

l = 10.5 yd

Aim: Area: Rectangle & Square Course: Applied Geo.

Model Problem

If the area of a square is 49 feet2, find the perimeter.

A. of Square = s • s or s2

49 = s2 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 = 6x2 - 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?

counter4 ft

16 ft

8 ft2 ft

5 ft7 ft

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?