Lisa is making a quilt using a scale of 1.5 inches =2 feet. Her scale drawing is 10.5 inches by 9 inches. What is the area, in square feet, of the actual quilt?
Q. Lisa is making a quilt using a scale of 1.5 inches =2 feet. Her scale drawing is 10.5 inches by 9 inches. What is the area, in square feet, of the actual quilt?
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 1.5 inches = 2 feet.
Convert Dimensions: Now, we convert the dimensions of the scale drawing from inches to feet using the given scale. For the length, we have 10.5 inches, and for the width, we have 9 inches.
Convert Length: To convert the length, we divide 10.5 inches by 1.5 inches to find out how many times the scale fits into the actual length. Then we multiply that number by 2 feet to get the length in feet.10.5 inches /1.5 inches =77×2 feet =1.50 feet
Convert Width: To convert the width, we divide 9 inches by 1.5 inches to find out how many times the scale fits into the actual width. Then we multiply that number by 2 feet to get the width in feet.9 inches /1.5 inches =66×2 feet =1.50 feet
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.Area = length×widthArea = 14feet×12feet
Perform Multiplication: Perform the multiplication to find the area.Area = 14feet×12feet=168square feet
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