Area of Composite Shapes
What are the steps to find the total area of an irregular shape? HINT: 4 STEPS!
1. Break it apart
2. Write dimensions
3. Combined equation
4. Add areas together... sq units!
5 x 20
100
32 + 39
71
What is area?
The space inside the shape
What is the distributive property?
When you multiply by something twice
48 sq units
6 x 30
180
45 + 47
92
What is the equation for area?
A = L x W
The length for both is 6 and the widths are 4 and 5.
How can you write this as a distributive property equation?
6 x ( 4+5)
A large classroom has a width of 19 and a length of 5. What is the total area?
95 sq units
19 x 5
(10x5)+(5x9)
8 x 90
720
85 + 88
173
After you find area of a shape, the product has to have something special after it. What is it?
SQ UNITS
(5x4) + (5x7)
the lengths are 5 and the widths are 4 and 7
How can we make a distributive property equation
5 x (4+7)
A kitchen has a width of 7 and a length of 2. It is connected to the bathroom that has a width of 5 and a length of 8. What is the total area?
(7x2)+(5x8)= 54 sq units
5 x 10 x 8
400
120 + 21
141
Make a combined equation
(5x6) + (5x2)
The length is 5 and the two widths are 6 and 2.
How can you write this as a distributive property equation?
A rectangle has a width of 18 and a length of 9. What is the total area?
162 sq units!
10 x 2 x 9
180
345 + 345
690
How can you find area of a shape with a LARGE width or length? What strategy could you use?
Break it into two parts!
(5x4) + (5x3)
The length is 5 and the two widths are 4 and 3.
How can you write this as a distributive property equation?
5 x ( 4+3)