Exploring the Area of Composite Figures

The video tutorial covers the concept of composite figures, explaining how to decompose them into simpler shapes to calculate areas. It includes practical examples such as calculating the area of rooms from a blueprint, determining the cost of carpeting, and assessing the amount of paint needed for a house. The tutorial also addresses calculating the area of a shaded region and determining if enough spray paint is available for a specific task.

What does it mean to decompose a composite figure?

• To color the figure

• To divide the figure into simpler shapes

• To erase parts of the figure

• To rotate the figure

What shapes can be used to decompose a composite figure for easier area calculation?

• Circles and ovals

• Rectangles and triangles

• Hexagons and pentagons

• Curves and lines

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

• Base x Height

• 1/2 x Base x Height

• Length + Width

• Pi x Radius^2

What is the area of the kitchen in the floor plan?

• 120 ft squared

• 450 ft squared

• 100 ft squared

• 570 ft squared

How do you find the total square footage of a house blueprint?

• Divide the area of the living room by two

• Multiply the length by the width of the house

• Add the area of each room

• Subtract the area of the porch

How is the total square footage of the blueprint calculated?

• By measuring the exterior walls

• By calculating the volume of the house

• By estimating the size of the house

• By adding the area of each separated room

How much would it cost to carpet all rooms except the kitchen if carpeting costs $2 per square foot?

• $612

• $128

• $484

• $580.80

Does Tanner have enough spray paint to cover his arrow if one can covers 12 square feet?

• Not mentioned

• Yes

• No

• Only if he uses less paint

What is the total area of the shaded region involving a right triangle and a trapezoid?

• 4 in squared

• 6 in squared

• 10 in squared

• 16 in squared

What is the formula for the area of a trapezoid?

• Length x Width

• 1/2 x (Base1 + Base2) x Height

• Pi x Radius^2

• Base x Height