Perimeters and Areas of Rectangles

1. Perimeters and Areas of Rectangles Lesson 9-3

2. Area • Area is the amount of space inside a figure. We use square units to describe area. • For rectangles, the area formula is A=lw (area equals length times width). • For squares, the formula is still A=lw. However, since every side of a square is the same, then it can also be expressed as A=s2 where s equals the length of one side.

3. Example 12 m A=lw A=12(8) 8 m A=96 sq. m Area is expressed in square units. It can be written (in this case) as 96 sq. m or 96 m2.

4. Area of Irregular Shapes Count how many squares are completely covered by the shape. Put partial squares together to make wholes. • 13 squares are full. • 2 squares are almost full, and they can be matched up with 2 squares that are almost empty. • 3 squares are about half full – when two are put together that makes a full square. The half square is left over. • Altogether, there are 16 and a half squares full.

5. Perimeter • Perimeter is the distance around the outside of a figure. • The perimeter of a rectangle is derived by adding all four sides. Since the two lengths are equal, and the two widths are equal, then it can be written as P = 2l + 2w. • For squares, the perimeter is found the same way (add all 4 sides). Since all sides are the same, however, you can use the formula P = 4s.

6. Example 18 cm 5 cm 5 cm P = 2w + 2l 18 cm P = 2(5) + 2(18) Perimeter results in regular units, not square units. P = 10 + 36 P = 46 cm

7. Homework Time