The rectangular floor of a classroom is 36 feet in length and 39 feet in width. A scale drawing of the floor has a length of 12 inches. What is the area, in square inches, of the floor in the scale drawing?Answer: □ in.2
Q. The rectangular floor of a classroom is 36 feet in length and 39 feet in width. A scale drawing of the floor has a length of 12 inches. What is the area, in square inches, of the floor in the scale drawing?Answer: □ in.2
Convert to inches: Convert the actual length of the classroom floor from feet to inches to match the units of the scale drawing.Since 1 foot equals 12 inches, we multiply the length in feet by 12 to get the length in inches.36 feet ×12 inches/foot = 432 inches
Determine scale factor: Determine the scale factor between the actual floor and the scale drawing.The actual length is 432 inches and the scale drawing length is 12 inches.Scale factor =Actual lengthScale drawing lengthScale factor =432 inches12 inchesScale factor =361
Convert width to inches: Convert the actual width of the classroom floor from feet to inches.Since 1 foot equals 12 inches, we multiply the width in feet by 12 to get the width in inches.39 feet ×12 inches/foot =468 inches
Calculate width in drawing: Calculate the width of the classroom floor in the scale drawing using the scale factor.Scale drawing width = Actual width × Scale factorScale drawing width = 468 inches ×361Scale drawing width = 13 inches
Calculate area of drawing: Calculate the area of the scale drawing.Area = Length × WidthArea = 12 inches ×13 inchesArea = 156 square inches
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