Tiling
Finding area
Decomposing Figures
100

1. Look at the rectangle. Count the units and determine the area. 

27 square units

100

7. Look at the picture. What is the area of the window? 

The area of the window is _72_ square inches.  

100

4. How can you decompose to find the area of this rectangle? 

10 x 8 = 10 x _3_ + 10 x _5_

= _30_ + _50_

=_80_ square centimeters 

200

10. Look at the figure.  If you could complete the tiling, how many unit squares would fill the shape? 

16 

200

8. Su designs a trail by laying rectangular stones side by side.  What is the total area of the stones? 

_24_ square feet

200

5. Bill built a new patio. Look at the picture. What is the area of Bill's new patio? 

72 square feet

300

2. Which statements are true? Choose true or false for each. 

a. Placing unit squares on a figure with gaps is called tiling. _________

b. Area is measured in square units. _______

a. false

b. true

300

11. Shaina writes two equations to find the area of this rectangle. 

Shaina's equations

Equation 1                             Equation 2 

A= 5 + 10                             A = 5 x 3 + 5 x 7

A = 15 square meters            A = 50 square meters 

Why did Shaina get two different answers? 

Shaina should have multiple the length times the width, not added them.  

300

9. Fatima paints a large F on a sign for her fruit stand. How much of the sign is covered by the F? 

16 square inches 

400

13. Look at the figure. How can you find the area of the rectangle? What is the area? 

You can count the tiles. The area is 24 square units. 

400

12. Ema cut three rectangles from woodier a birdhouse. Look at the rectangles.  

How do their areas compare? 

They are all the same because 

4x4=16

8x2=16

16x1=16

400

Congratulations

You won 400 points! 

500

Congratulations

You won 500 points!

500

3. Omar uses a rag to wash his car. The area of the rag is 40 square inches. What could be the length and width of the rag?  Choose all the apply.

5 inches by 8 inches 

20 inches by 2 inches

500

6. Tomas finds the area of this figure. He sees different ways to pattern the figure.  Which group of equations can be used to find the area? Choose the two that apply. 

2. 4x7 = 28

    9 x 3 = 27

    10 x 4 = 40

3. 10 x 4 = 40 

    7 x 7 = 49

    3 x 2 = 6