1. Determine all possible rectangles that can be constructed using the 36 squares. Record each rectangle on a piece of centimeter graph paper and label the base (b) and the height $$ (h) .36 imes 1 $$

Question

1. Determine all possible rectangles that can be constructed using the 36 squares. Record each rectangle on a piece of centimeter graph paper and label the base (b) and the height $$ (h) .36 	imes 1 $$

UpStudy AI · Accepted Answer

To determine all possible rectangles that can be constructed using 36 squares, we need to find pairs of factors of 36. Each pair of factors will represent the base $$ b $$ and height $$ h $$ of the rectangle.

### Step 1: Find the factors of 36
The factors of 36 are the numbers that can be multiplied together to give 36. Let's list them:

- $$ 1 	imes 36 $$
- $$ 2 	imes 18 $$
- $$ 3 	imes 12 $$
- $$ 4 	imes 9 $$
- $$ 6 	imes 6 $$

### Step 2: List the rectangles
From the factors, we can form the following rectangles:

1. Rectangle with base $$ b = 1 $$ cm and height $$ h = 36 $$ cm
2. Rectangle with base $$ b = 2 $$ cm and height $$ h = 18 $$ cm
3. Rectangle with base $$ b = 3 $$ cm and height $$ h = 12 $$ cm
4. Rectangle with base $$ b = 4 $$ cm and height $$ h = 9 $$ cm
5. Rectangle with base $$ b = 6 $$ cm and height $$ h = 6 $$ cm

### Step 3: Record on graph paper
You can draw these rectangles on centimeter graph paper, labeling each rectangle with its corresponding base and height.

### Summary of Rectangles
- $$ (1, 36) $$
- $$ (2, 18) $$
- $$ (3, 12) $$
- $$ (4, 9) $$
- $$ (6, 6) $$

These pairs represent all possible rectangles that can be constructed using 36 squares.
All possible rectangles using 36 squares are: - 1 cm base × 36 cm height - 2 cm base × 18 cm height - 3 cm base × 12 cm height - 4 cm base × 9 cm height - 6 cm base × 6 cm height

Determine all possible rectangles that can be constructed using the 36 squares.
Record each rectangle on a piece of centimeter graph paper and label the base (b)
and the height

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