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, let's find the scale factor by dividing the actual width of the mural by the width in the scale drawing:
Scale factor = Actual width / Width in scale drawing
Scale factor = 24 feet / 8 inches
Scale factor = 3 feet / 1 inch
Scale factor = 3
Now, let's find the length in the scale drawing by multiplying the scale factor by the actual length of the mural:
Length in scale drawing = Scale factor * Actual length
Length in scale drawing = 3 * 36 feet
Length in scale drawing = 108 feet
Now, let's find the area of the mural in the scale drawing by multiplying the width and length in the scale drawing:
Area = Width * Length
Area = 8 inches * 108 inches
Area = 864 square inches
Therefore, the area of the mural in the scale drawing is 864 square inches.