1. Equations with Perimeter and Area
Objective: SWBAT solve application problems to include perimeter and area of rectangles.

2. Vocabulary:
Perimeter the perimeter is the sum of
ALL the lengths of the sides
of a two dimensional
shape
Area the amount of space (two
dimensional) inside a shape
expressed in square units

3. Equation - _____________________ 2x - 4
Practice Problems:
Solve for the missing sides of the rectangle by creating an equation through the process of combining like-terms.
The perimeter is 64 in.
Equation - _____________________
2x - 4
x + 6
x = _______
The sides are: _____ _____ _____ _____
2x – 4
x + 6
+ x + 6
6x + 4
6x + 4 = 64
= 64
2(10) – 4
20 – 4 16
6x + 4 = 64
6x = 60
x = 10
10 + 6 16 10
16 in
16 in
16 in
16 in

4. Equation - _____________________
The perimeter is 42 cm.
Equation - _____________________
3x x + 2
3x + 2
x = _______
The sides are: _____ _____ _____
9x + 6 = 42
3x + 2
+ 3x + 2
9x + 6
3(4) + 2
12 + 2 14
= 42
9x + 6 = 42
9x = 36
x = 4 4
14 cm
14 cm
14 cm

5. Equation - _____________________ 3x - 2 4
Practice Problems:
Solve for the missing sides of the rectangle by creating an equation through the process of using the distributive property.
The area is 52 ft2
Equation - _____________________
3x - 2 4
x = _______
The sides are: _____ _____ _____ _____
4(3x – 2) = 52
12x – 8 = 52
12x = 60
x = 5
4(3x – 2) = 52
3(5) - 2
15 - 2 13 5
4 ft
4 ft
13 ft
13 ft

6. Equation - _____________________ x + 3
The area is 42 in2
Equation - _____________________
x + 3 3
x = _______
The sides are: _____ _____ _____ _____
3(x + 3) = 42
11 + 3 14
3(x + 3) = 42
3x + 9 = 42
3x = 33
x = 11 11
3 in
3 in
14 in
14 in