Exploring Area of Compound Shapes

What is the first step in solving a compound shape area problem?

• Calculate the perimeter

• Guess the total area

• Multiply the dimensions

• Divide the shape into simpler shapes

What is the area of a rectangle with a length of 7 and a width of 11?

• 35.5

• 154

• 18

• 77

How do you find the radius of a circle if you know the diameter?

• Multiply the diameter by π

• Square the diameter

• Divide the diameter by 2

• Multiply the diameter by 2

What is the area of a semicircle with a diameter of 7?

• 77

• 12.25

• 38.465

• 19.2325

How do you find the total area of a compound shape?

• Subtract the areas of simple shapes

• Divide the area of one shape by another

• Add the areas of simple shapes together

• Multiply the areas of simple shapes

What is a different approach to solving compound shapes problems besides addition?

• Subtraction

• Exponentiation

• Multiplication

• Division

What is the first step in solving a compound shape problem where subtraction is needed?

• Subtract the area of the smaller shape from the total area

• Calculate the area of the smaller shape

• Add the areas of both shapes

• Calculate the area of the larger shape

What is the area of a pool that is 6 feet by 5 feet?

• 30 square feet

• 11 square feet

• 15 square feet

• 18 square feet

If the total area of a backyard is 270 square feet and the pool area is 30 square feet, how much grass is needed?

• 270 square feet

• 240 square feet

• 230 square feet

• 300 square feet

In compound shapes problems, when do you use subtraction?

• When combining two shapes

• When one shape is inside another

• When shapes overlap

• When shapes are identical