# Lesson 6

Building Polygons (Part 1)

Let’s build shapes.

### Problem 1

A rectangle has side lengths of 6 units and 3 units. Could you make a quadrilateral that is not identical using the same four side lengths? If so, describe it.

### Problem 2

Come up with an example of three side lengths that can not possibly make a triangle, and explain how you know.

### Problem 3

Find \(x\), \(y\), and \(z\).

### Problem 4

How many right angles need to be put together to make:

- 360 degrees?
- 180 degrees?
- 270 degrees?
- A straight angle?

### Problem 5

Solve each equation.

\(\frac17(x+\frac34)=\frac18\)

\(\frac92=\frac34(z+\frac23)\)

\(1.5=0.6(w+0.4)\)

\(0.08(7.97+v)=0.832\)

### Problem 6

- You can buy 4 bottles of water from a vending machine for $7. At this rate, how many bottles of water can you buy for $28? If you get stuck, consider creating a table.
- It costs $20 to buy 5 sandwiches from a vending machine. At this rate, what is the cost for 8 sandwiches? If you get stuck, consider creating a table.