Perimeter, Area, and Volume

1
Perimeter, Area, and Volume
3102.4.1    Using algebraic expressions solve for
measures in geometric figures as well as for
perimeter, area, and volume.
2
PERIMETER

• To find the perimeter of a rectangle or square
  use the appropriate formula or just add up the
  length of the sides!

rectangle
square
P 2w 2l
P4s
3
Find the perimeter of the rectangle
8

• P 2w2l
• P 2(5)2(8)
• P 10 16
• P 26

5
5
8
4
Find the perimeter of the irregular figure.

• Just add up all the sides

P55338 P24
8
5
5
3
3
5
Formulas for FINDING AREA
Circle
Triangle
Rectangle
Parallelogram
6
Find the area of a circle
6
7
Find the area of a Triangle
A b h
A (10)(7)
7
10
A 35
8
Find the area of a Rectangle

• A lw
• A (25)(7)
• A 175

25
7
9
Finding the area of a parallelogram

• A bh
• A(7)(4)
• A 28

4
7
10
FINDING VOLUME

• V lwh
• V(3)(6)(4)
• V72

4
6
3
11
Finding the volume of a cylinder
5
12
V 942.48
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Use Algebraic Expressions
Find the area first!

• A lw
• A (x5)(2x)
• A 2x210x

2x
Now find the perimeter!
x 5
P 2l 2w P 2(x5) 2(2x) P 2x10 4x P
6x10