**Vocabulary**

composite figure, quarter circle, semicircle

**TEKS** 7(1)(A), 7(1)(C), 7(1)(F), 7(9)(C)

A **composite figure** is the combination of two or more shapes. Often you can decompose a composite figure more than one way.

Area of figure = area of square + area of rectangle

The area of the figure is 39 ft^{2}.

**TEKS** 7(1)(A), 7(1)(C), 7(1)(F), 7(9)(C)

**Example Finding Areas of Polygons**

The polygon is a floor plan for a new music area in a school. What is the area of the polygon?

**Solution**

**Method 1** Decompose the polygon into a square, a right triangle, and a rectangle.

Area of square: 4^{2} = 16, or 16 m^{2}

Area of a right triangle:

Area of rectangle: 11 · 5 = 55, or 55 m^{2}

Digits, Grade 7, Volume 1, Homework Helper
Unit A: Number and Operations
Math Symbols
Formulas Measures
Properties

Topic 1: Operations with Rational Numbers

Unit B: Expressions, Equations, and Relationships
- 1-1: Rational Numbers, Opposites, and Absolute Value
- 1-1: TEKS Practice
- 1-2: Adding Rational Numbers
- 1-2: TEKS Practice
- 1-3: Subtracting Rational Numbers
- 1-3: TEKS Practice
- 1-4: Multiplying Rational Numbers
- 1-4: TEKS Practice
- 1-5: Dividing Rational Numbers
- 1-5: TEKS Practice
- 1-6: Operations With Rational Numbers
- 1-6: TEKS Practice
- 1-7: Additional Problem Solving
- 1-7: TEKS Practice

Topic 2: Equations & Inequalities

Unit C: Measurement and Geometry
- 2-1: Solving Simple Equations
- 2-1: TEKS Practice
- 2-2: Writing Two-Step Equations
- 2-2: TEKS Practice
- 2-3: Solving Two-Step Equations
- 2-3: TEKS Practice
- 2-4: Solving Simple Inequalities
- 2-4: TEKS Practice
- 2-5: Solving Two-Step Inequalities
- 2-5: TEKS Practice
- 2-6: Writing Problem Situations
- 2-6: TEKS Practice
- 2-7: Additional Problem Solving
- 2-7: TEKS Practice

Topic 3: Angles
Topic 4: Circles
Topic 5: Surface Area and Volume

Unit D: Proportionality
- 3-1: Measuring Angles
- 3-1: TEKS Practice
- 3-2: Adjacent Angles
- 3-2: TEKS Practice
- 3-3: Complementary Angles
- 3-3: TEKS Practice
- 3-4: Supplementary Angles
- 3-4: TEKS Practice
- 3-5: Vertical Angles
- 3-5: TEKS Practice
- 3-6: Sum of the Angles in a Triangle
- 3-6: TEKS Practice
- 3-7: Additional Problem Solving
- 3-6: TEKS Practice

- 4-1: Center, Radius, and Diameter
- 4-1: TEKS Practice
- 4-2: Circumference of a Circle
- 4-2: TEKS Practice
- 4-3: Area of a Circle
- 4-3: TEKS Practice
- 4-4: Areas of Semicircles and Quarter Circles
- 4-4: TEKS Practice
- 4-5: Area of Composite Figures
- 4-5: TEKS Practice
- 4-6: Additional Problem Solving
- 4-6: TEKS Practice

Topic 6: Ratios and Rates
Topic 7: Proportional Relationships
Topic 8: Representing Linear Relationships
Topic 9: Percents

English/Spanish Glossary
Formulas
- 9-1: The Percent Equation
- 9-1: TEKS Practice
- 9-2: Using the Percent Equation
- 9-2: TEKS Practice
- 9-3: Simple Interest
- 9-3: TEKS Practice
- 9-4: Compound Interest
- 9-4: TEKS Practice
- 9-5: Percent Increase and Decrease
- 9-5: TEKS Practice
- 9-6: Markups and Markdowns
- 9-6: TEKS Practice
- 9-7: Additional Problem Solving
- 9-7: TEKS Practice