# Perimeter, Area, and Volume - PowerPoint

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```					         Perimeter,
Area, and
Volume

3102.4.1 Using algebraic expressions solve for
measures in geometric figures as well as for perimeter,
area, and volume.
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                   P=4s
Find the perimeter of the
rectangle
8

5                           5

8
P   =   2w+2l
P   =   2(5)+2(8)
P   =   10 + 16
P   =   26
Find the perimeter of the
irregular figure.
Just add up all the sides
P=5+5+3+3+8
8                   P=24

5                          5

3            3
Formulas for FINDING AREA
Circle       A r     2

1
Triangle     A  bh
2

Rectangle    A  lw

Parallelogram A  bh
Find the area of a circle

A r       2

6       A   (6) 2

A  36
Find the area of a Triangle
1
A=    bh
2
A= 1 (10)(7)
2

7

10
A= 35
Find the area of a Rectangle

25           A= lw
A= (25)(7)
7                  A= 175
Finding the area of a
parallelogram

A= bh
A=(7)(4)
4
A= 28
7
FINDING VOLUME

V= lwh
V=(3)(6)(4)
V=72
4
6
3
Finding the volume of a cylinder

5
V r h  2

V   (5) (12)
2

12

V= 942.48
Use Algebraic Expressions
Find the area first!
A = lw
A = (x+5)(2x)
2x
A = 2x2+10x
Now find the perimeter!

x+5
P = 2l + 2w
P = 2(x+5) + 2(2x)
P = 2x+10 + 4x
P = 6x+10

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