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???

1 answer

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.