# 8.6: Rectangle Facts 6

**At Grade**Created by: CK-12

Look at Rectangle below. Notice that it has been divided into 4 smaller rectangles. Given the area of three of the smaller rectangles, can you figure out the area of the fourth? In this concept, we will practice working with the dimensions of rectangles and area of rectangles.

### Guidance

In order to solve the problem about the rectangle above, use the problem solving steps.

- Start by
**describing**what information is given. - Then, identify what
**your job**is. In these problems, your job will be to figure out the area of the fourth rectangle. - Next, make a
**plan**for how you will solve. In these problems, figure out the dimensions of the square first. Then figure out the dimensions of the other rectangles. Finally, find the area of the missing rectangle. - Then,
**solve**the problem. Implement your plan. - Finally,
**check**your solution. Verify the dimensions and area of each rectangle.

#### Example A

Rectangle is separated into 4 smaller rectangles.

**Solution:**

We can use problem solving steps to help.

#### Example B

Rectangle is separated into 4 smaller rectangles.

**Solution:**

We can use problem solving steps to help.

#### Example C

Rectangle is separated into 4 smaller rectangles.

**Solution:**

We can use problem solving steps to help.

#### Concept Problem Revisited

We can use problem solving steps to help.

### Vocabulary

A ** rectangle** is a 4-sided shape whose angles are all right angles. The

**of a rectangle are the lengths of its sides (usually called the**

*dimensions***and**

*length***). In general,**

*width***is a calculation of the number of unit squares it takes to fill up a shape.**

*area*### Guided Practice

1. Rectangle is separated into 4 smaller rectangles.

2. Rectangle is separated into 4 smaller rectangles.

3. Rectangle is separated into 4 smaller rectangles.

**Answers:**

1. 6 square inches

2. 56 square inches

3. 8 square inches

### Explore More

For each problem below, the large rectangle has been separated into 4 smaller rectangles.

### Image Attributions

Students are presented with rectangles that have been divided into 4 smaller rectangles. Given the area of three of these rectangles, they are asked to find the area of the fourth. Students use problem solving steps to help.

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