Exploring Area of Composite Figures in STAAR 2017 7th Math

The video tutorial explains how to determine the area in Shane's backyard where digging is allowed, given a utility line restriction. It covers understanding the problem, interpreting the diagram, and calculating the area using addition and subtraction. The tutorial emphasizes the importance of using the correct formula for the area of a rectangle and warns against common mistakes, such as misreading the problem or calculating the wrong area.

What is the primary restriction for digging in Shane's backyard?

• Digging is only allowed on weekends

• Must avoid all plants and trees

• Can only dig during daylight

• Cannot dig within 3 feet of the utility line

How is the restricted area around the utility line represented in the diagram?

• Not represented

• With a double line

• With a dashed line

• With a solid line

How can the area Shane is allowed to dig be calculated?

• Calculating the total area and subtracting the restricted area

• Guessing based on the size of the backyard

• By measuring the depth of the utility line

• Asking a professional for an estimate

What is the correct approach to find the area Shane is allowed to dig?

• Subtract the restricted area from the total area

• Both A and B are correct

• Add the areas of allowed sections

• Multiply the length of the backyard by its width

What formula is used to calculate the area of a rectangle?

• Length x Width x Height

• Perimeter x 2

• Base x Height

• Length + Width

What is another name for the base times height formula?

• Volume formula

• Circumference formula

• Area formula

• Perimeter formula

What is the area of the section Shane can dig that is 14 by 17 feet?

• 238 square feet

• 231 square feet

• 245 square feet

• 224 square feet

What is the total area Shane is allowed to dig?

• 290 square feet

• 250 square feet

• 300 square feet

• 272 square feet

Why is it crucial to read the problem carefully?

• To save time

• To ensure correct calculations

• To find hidden clues

• To avoid making mistakes despite correct calculations

What mistake could lead to finding the wrong answer?

• Incorrectly adding the areas

• Using the wrong formula

• Misreading the problem's requirements

• Forgetting to subtract the restricted area