# Lesson 6

Building Polygons (Part 1)

### 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.

### Solution

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### Problem 2

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

### Solution

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### Problem 3

Find $$x$$, $$y$$, and $$z$$.

### Solution

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(From Unit 7, Lesson 3.)

### Problem 4

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

1. 360 degrees?
2. 180 degrees?
3. 270 degrees?
4. A straight angle?

### Solution

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(From Unit 7, Lesson 1.)

### Problem 5

Solve each equation.

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

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

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

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

### Solution

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(From Unit 6, Lesson 8.)

### Problem 6

1.  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.
2. 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.

### Solution

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(From Unit 4, Lesson 3.)