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Lisa is making a quilt using a scale of 1.51.5 inches =2= 2 feet. Her scale drawing is 10.510.5 inches by 99 inches. What is the area, in square feet, of the actual quilt?

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Q. Lisa is making a quilt using a scale of 1.51.5 inches =2= 2 feet. Her scale drawing is 10.510.5 inches by 99 inches. What is the area, in square feet, of the actual quilt?
  1. Convert to Feet: First, we need to convert the scale from inches to feet to understand the actual size of the quilt. The scale is 1.51.5 inches = 22 feet.
  2. Convert Dimensions: Now, we convert the dimensions of the scale drawing from inches to feet using the given scale. For the length, we have 10.510.5 inches, and for the width, we have 99 inches.
  3. Convert Length: To convert the length, we divide 10.510.5 inches by 1.51.5 inches to find out how many times the scale fits into the actual length. Then we multiply that number by 22 feet to get the length in feet.\newline10.510.5 inches // 1.51.5 inches == 77\newline7×27 \times 2 feet == 1.51.500 feet
  4. Convert Width: To convert the width, we divide 99 inches by 1.51.5 inches to find out how many times the scale fits into the actual width. Then we multiply that number by 22 feet to get the width in feet.\newline99 inches // 1.51.5 inches == 66\newline6×26 \times 2 feet == 1.51.500 feet
  5. Calculate Area: Now that we have the actual dimensions of the quilt in feet, we can calculate the area by multiplying the length by the width.\newlineArea = length×width\text{length} \times \text{width}\newlineArea = 14feet×12feet14 \, \text{feet} \times 12 \, \text{feet}
  6. Perform Multiplication: Perform the multiplication to find the area.\newlineArea = 14feet×12feet=168square feet14 \, \text{feet} \times 12 \, \text{feet} = 168 \, \text{square feet}

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