Exploring Adding and Subtracting Rational Expressions

This video tutorial explains how to calculate the area of composite figures by breaking them into basic shapes like rectangles, triangles, and circles. It provides step-by-step examples, including calculations for various composite figures and a practical application involving the cost of paving a driveway.

What is a composite figure?

• A figure that can be divided into basic plane figures

• A figure made up of circles only

• A figure made up of lines only

• A figure that cannot be divided

What is the first step in finding the area of a composite figure?

• Draw the figure

• Break the figure into shapes with known area formulas

• Find the area of each shape

• Calculate the sum of areas

How do you find the area of a composite figure?

• Multiply the areas of all shapes

• Subtract the areas of all shapes

• Add the areas of all shapes

• Divide the areas of all shapes

What is the area of a rectangle with length 12 and width 9?

• 108 square units

• 42 square units

• 150 square units

• 21 square units

What is the area of a trapezoid with bases 7 and 17.5, and height 14?

• 110.25 square units

• 35 square units

• 84 square units

• 145.25 square meters

What is the total area of a composite figure consisting of a rectangle and a trapezoid as described in example 2?

• 453 square inches

• 150 square feet

• 132.75 square inches

• 145.25 square meters

What is the area of a semicircle with a radius of 12?

• 84 square units

• 226.08 square centimeters

• 240 square units

• 452.16 square centimeters

What is the combined area of two full circles with a radius of 3 each?

• 92.52 square inches

• 56.52 square inches

• 18.84 square units

• 28.26 square units

What shapes make up the composite figure in example 8?

• Three triangles and a circle

• Four half circles and a rectangle

• Two rectangles and a semicircle

• Two full circles and a square

How much will Mark pay for paving his driveway if it's 403.5 square feet at $3.50 per square foot?

• $1400.00

• $1412.50

• $403.50

• $1412.25