Calculating Actual Area from Scale Drawings

The video tutorial explains how to solve a math problem involving a scale drawing for a construction project. The problem uses a scale of 1 inch to 4 feet to determine the actual area of a family room. The tutorial guides viewers through converting the dimensions from inches to feet and calculating the area in square feet, ensuring the solution matches the given answer choices.

What is the scale used in the construction project's drawing?

• 1 inch = 40 meters

• 1 inch = 4 feet

• 1 inch = 4 meters

• 1 inch = 40 feet

Tags

CCSS.7.G.A.1

How does the scale drawing affect the actual construction measurements?

• It reduces the actual size

• It enlarges the actual size

• It varies the size randomly

• It does not affect the size

Tags

CCSS.7.G.A.1

If the drawing shows 7.5 inches for one dimension, how many feet does this represent?

• 30 feet

• 75 feet

• 15 feet

• 300 feet

Tags

CCSS.2.MD.A.2

What mathematical operation is primarily used to convert the scale drawing dimensions to actual dimensions?

• Division

• Addition

• Subtraction

• Multiplication

Tags

CCSS.7.G.A.1

What is the converted measurement of the second dimension shown as 12 inches on the drawing?

• 48 feet

• 12 feet

• 120 feet

• 24 feet

Tags

CCSS.4.MD.A.1

What is the estimated area of the room before exact calculation?

• 1440 square feet

• 1200 square feet

• 1600 square feet

• 1800 square feet

What is the purpose of converting dimensions in a construction project?

• To estimate cost

• To design the layout

• All of the above

• To calculate the area

Tags

CCSS.HSG.MG.A.1

What is the actual area of the family room after construction?

• 1440 square feet

• 1500 square feet

• 1600 square feet

• 1300 square feet

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

How many square feet are there in the actual room if one dimension is 30 feet and the other is 48 feet?

• 1440 square feet

• 780 square feet

• 1536 square feet

• 1280 square feet

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Which unit of measurement is used in the final calculation of the room's area?

• Square inches

• Square meters

• Square yards

• Square feet

Tags

CCSS.3.MD.C.6