# Area Of Compound Shapes Worksheet Complete Guide

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This is a guide to help students answer the questions asked in the worksheet on area of a compound shape.

Step 1: Start by drawing a diagram of the shape you are given.

Step 2: Next, draw an x-axis and y-axis through your diagram.

Step 3: Label your axes with their corresponding names and also label your diagram with what it represents.

Step 4: Plot points on your graph and connect them with lines to form shapes.

Step 5: Draw arrows for each line that points in the direction of its slope.

Step 6: Fill in each of the following formulas for each shape you have plotted points for, starting with the largest shape first and working your way down to the smallest one last. The formula should be written as A/B*C where A is what you have calculated so far, B is how many sides it has (or two if it’s just a rectangle), C is how many sides

## Introduction: What Is an Area of a Compound Shape?

A rectangle is a two-dimensional shape that has four sides.

A triangle is a three-dimensional shape that has three sides.

A square is a four-sided polygon with four angles and four right angles.

An octagon is an eight sided polygon with eight angles and eight right angles.

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## How To Find the Area of a Rectangle Using Formulas

The formula for the area of a rectangle is length x width. This is the same formula for finding the area of any shape with straight, parallel sides.

To find the area of a rectangle, you need to know two things:

1) The length of one side, which is also called its “base,” and 2) The width of one side, which is also called its “height.”

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### How To Find the Area of A Triangle Using Formulas

The area of a triangle is A = ½bh, where h is the height of the triangle and b is the length of one of its base. To find the area, we need to calculate both h and b.

We can use Pythagoras’ theorem to find out h: a2 + b2 = c2. The equation would be (x+1)2 + (y-1)2 = (x-1)2, which simplifies to y+y=x^2+x^2. We can use this formula to find out that h=sqrt(x^4+y^4).

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## How To Find The Area Of A Circle or A Square In Terms Of Pi

The area of a square is the length of one side squared.

The area of a circle is πr².

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## Conclusion: You’re All Set!

The area of a circle is pi times the radius squared.

The area of a square is pi times the side squared.

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