Area of composite figures is the measure of the space occupied by a figure that is made up of two or more simple shapes. To find the area of a composite figure, we can divide it into smaller parts that are easier to calculate, such as squares, rectangles, triangles, parallelograms, trapezoids, circles, etc. Then, we can add up the areas of the smaller parts to get the total area of the composite figure.
How to find the area of composite figures?
The following steps can help us find the area of composite figures:
- Step 1: Identify the simple shapes that make up the composite figure.
- Step 2: Find the area of each simple shape using the appropriate formula. Remember to use the same unit for all measurements.
- Step 3: Add up the areas of all the simple shapes to get the total area of the composite figure.
- Step 4: Write the final answer with the correct unit squared.
Formulas for finding the area of simple shapes
The table below shows some common formulas for finding the area of simple shapes
| Shape | Formula | Example |
|---|---|---|
| Square | A = s^2 | A square with side length 4 cm has an area of 4^2 = 16 cm^2 |
| Rectangle | A = lw | A rectangle with length 6 m and width 3 m has an area of 6 × 3 = 18 m^2 |
| Triangle | A = (1/2)bh | A triangle with base 8 cm and height 5 cm has an area of (1/2) × 8 × 5 = 20 cm^2 |
| Parallelogram | A = bh | A parallelogram with base 10 m and height 4 m has an area of 10 × 4 = 40 m^2 |
| Trapezoid | A = (1/2)(b1 + b2)h | A trapezoid with bases 12 cm and 8 cm and height 6 cm has an area of (1/2) × (12 + 8) × 6 = 60 cm^2 |
| Rhombus | A = (1/2)d1d2 | A rhombus with diagonals 15 cm and 12 cm has an area of (1/2) × 15 × 12 = 90 cm^2 |
| Circle | A = πr^2 | A circle with radius 7 m has an area of π × 7^2 ≈ 153.9 m^2 |
Area Of Composite Figures Worksheet
Complementary and supplementary angles worksheet is a type of worksheet that helps students learn and practice the concepts of complementary and supplementary angles. Complementary angles are two angles that add up to 90 degrees, while supplementary angles are two angles that add up to 180 degrees. These angles are important for understanding geometry, trigonometry, and other branches of mathematics.
Some of the skills that students can develop by using complementary and supplementary angles worksheet are:
- Identifying complementary and supplementary angles by their measures or by their positions in diagrams.
- Finding the missing angle measure when given one angle of a complementary or supplementary pair.
- Using algebraic expressions or equations to find the unknown angle measure in a complementary or supplementary pair.
- Solving word problems that involve complementary or supplementary angles in real-life situations.
Some examples of complementary and supplementary angles worksheet are:
- Finding Complementary Angles - Type 1: This worksheet requires students to find the complement of a given angle measure by subtracting it from 90 degrees. For example, the complement of 35 degrees is 90 - 35 = 55 degrees.
- Finding Supplementary Angles - Type 2: This worksheet requires students to match the angles that form supplementary pairs when added. For example, 65 degrees and 115 degrees are supplementary because 65 + 115 = 180 degrees.
- Algebra in Supplementary Angles - One-Step & Two-Step: This worksheet requires students to use the property that the sum of supplementary angles is 180 degrees and solve for x in either one or two steps. For example, if x + 40 = 180, then x = 180 - 40 = 140 degrees
- Word Problems: This worksheet requires students to read and understand the questions, identify the relevant angles and their relationships, and write or choose the correct answer. For example, if two adjacent angles form a straight line and one angle is 30 degrees more than twice the other angle, what are the measures of the two angles?
Complementary And Supplementary Angles Worksheet
Kindergarten subtraction worksheets are printable materials that help young students learn and practice the basic skill of taking away one number from another. Subtraction is an essential math concept that prepares children for more advanced operations and problem-solving.
There are different types of kindergarten subtraction worksheets, depending on the level of difficulty and the format of the exercises. Some common types are:
- Subtraction using objects or pictures: These worksheets use visual aids such as fruits, animals, shapes, or toys to help students understand the meaning of subtraction. Students have to count and subtract the objects or pictures in each problem. For example, if there are 5 apples and 2 are crossed out, how many apples are left?
- Subtraction by drawing or crossing out: These worksheets require students to draw or cross out a certain number of objects or pictures to show the subtraction process. For example, draw 4 stars and cross out 2 stars. How many stars are left?
- Subtraction with numbers: These worksheets use numerals and symbols to represent subtraction problems. Students have to write or choose the correct answer for each problem. For example, 3 - 1 = ?
- Subtraction with number lines: These worksheets use a horizontal line with numbers marked on it to help students visualize subtraction. Students have to use the number line to jump backwards from the larger number to the smaller number and count how many jumps they made. For example, 6 - 2 = ? (Jump from 6 to 2 and count 4 jumps.)
- Subtraction word problems: These worksheets use stories or scenarios to present subtraction problems in a real-life context. Students have to read and understand the question, identify the numbers and the operation involved, and write or choose the correct answer. For example, Anna has 7 candies. She gives 3 candies to her friend. How many candies does Anna have left?






