Exploring Adding and Subtracting Rational Expressions

This video tutorial explains how to calculate the area of shaded regions by subtracting the area of unshaded regions from the total area. It covers various examples involving different geometric shapes such as parallelograms, trapezoids, rectangles, triangles, circles, and semicircles. The tutorial also includes a real-world application problem involving a tennis court to demonstrate the concept of composite figures.

What is the first step in finding the area of shaded regions?

• Subtract the unshaded area from the total area

• Find the area of the entire region

• Calculate the area of the shaded region directly

• Multiply the lengths of all sides

Tags

CCSS.6.G.A.1

How do you calculate the area of a parallelogram?

• Base times height

• Length plus width

• Length times width times height

• Base times height divided by 2

Tags

CCSS.6.G.A.1

What formula is used to find the area of a trapezoid?

• Pi times radius squared

• Length times width

• Base times height

• 1/2 times height times (base1 + base2)

Tags

CCSS.6.G.A.1

What is the formula for the area of a rectangle?

• Length plus width

• Pi times radius squared

• Base times height

• Length times width

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How is the area of a circle calculated?

• 2 times Pi times radius

• Length times width

• Pi times radius squared

• Pi times diameter squared

Tags

CCSS.7.G.B.4

How do you find the radius of a circle if the diameter is given as 6 units?

• 3 units

• 6 units

• 12 units

• 1.5 units

Tags

CCSS.7.G.B.4

What is the area of a square if one side is 14 units?

• 14 square units

• 56 square units

• 28 square units

• 196 square units

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

In the context of composite figures, how is the area of the shaded region found?

• By dividing the total area by the number of shapes

• By subtracting the unshaded area from the total area

• By adding the areas of all individual shapes

• By multiplying the areas of all individual shapes

Tags

CCSS.3.MD.C.7D

How is the area of a semi-circle calculated?

• Pi times radius squared

• 1/2 times Pi times radius squared

• 2 times Pi times radius

• Pi times diameter squared

Tags

CCSS.7.G.B.4

If one bag of grass seed covers 200 square feet, how many bags are needed for 1719.36 square feet?

• 11 bags

• 10 bags

• 9 bags

• 8 bags

Tags

CCSS.6.NS.B.3