How do you figure out area of compound figure
You add the parts, break it up into parts you can figure the area, then add.
Can someone show me an example of area of compound figure? and how to solve
1. Break your figure up and look to see how mnay shapes you have. Once you have broken the figure down into squares, rectangles, triangles, or parallelograms you can use the formulas below to find the area of each individual shape.
square = side x side
rectangle = length x width
triangles = 1/2 (base x height)
parallelograms = base x height
2. After you have found the are of all of your little shapes, you may add them all up and that will give you the area of the compound figures. Compound just means more than one so just remeber that a compound figure is a combination of the regular shapes mentioned above.
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To figure out the area of a compound figure, you need to break it down into simpler shapes with known formulas for area, such as triangles, rectangles, circles, and trapezoids. Once you have separated the compound figure into these simpler shapes, you can calculate the area of each shape and then sum them up to find the total area.
Here are the general steps to follow:
1. Draw the compound figure and label the dimensions of each component shape. Make sure to include any necessary measurements, such as base, height, radius, or side lengths.
2. Identify the individual shapes within the compound figure. Look for triangles, rectangles, circles, or trapezoids that make up the figure.
3. Break down the compound figure into these individual shapes and take note of their dimensions.
4. Use the appropriate formulas to calculate the areas of each individual shape. The formulas for common shapes are as follows:
- Rectangle: Area = Length × Width
- Triangle: Area = (Base × Height) / 2
- Circle: Area = π × (Radius)^2, where π is approximately 3.14159
- Trapezoid: Area = [(Base1 + Base2) × Height] / 2
5. Apply the formulas to each shape and calculate the area of each individual shape.
6. Sum up the areas of all the individual shapes to find the total area of the compound figure.
Remember to double-check your calculations and units to ensure accuracy.