A rectangular mural is 24 feet in width and 36 feet in length. A scale drawing of the mural has a width of 8 inches. Find the length. What is the area, in inches, of the mural in the scale drawing?
First, calculate the scale factor:
Scale factor = width of actual mural / width of scale drawing
Scale factor = 24 feet / 8 inches
Scale factor = 36 inches
Now, find the length of the mural in the scale drawing:
Length of scale drawing = scale factor x length of actual mural
Length of scale drawing = 36 inches x 36 feet
Length of scale drawing = 1296 inches
Next, calculate the area of the mural in the scale drawing:
Area = width x length
Area = 8 inches x 1296 inches
Area = 10368 square inches
So, the length of the scale drawing is 1296 inches and the area of the mural in the scale drawing is 10368 square inches.
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I apologize for the mistake. Let's re-calculate the length and area of the mural in the scale drawing:
Given:
Actual width of mural = 24 feet
Actual length of mural = 36 feet
Width of scale drawing = 8 inches
Scale factor:
24 feet = 24 x 12 = 288 inches
Scale factor = Actual width / Width of scale drawing
Scale factor = 288 inches / 8 inches
Scale factor = 36
Length of scale drawing:
Length of scale drawing = Scale factor x Actual length
Length of scale drawing = 36 x 36 feet = 1296 feet
Length of scale drawing = 1296 inches
Area of the mural in the scale drawing:
Area = Width x Length
Area = 8 inches x 1296 inches
Area = 10368 square inches
Thus, the length of the mural in the scale drawing is 1296 inches and the area of the mural in the scale drawing is 10368 square inches.