A rectangular mural is 24 feet in with 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 point)
© 864 in?
O 40 in2
• O 72 in?
O 96 in?
To find the length of the scale drawing, we can use the scale factor:
Scale Factor = Actual Length / Actual Width
Scale Factor = Length of Scale Drawing / Width of Scale Drawing
Given that the actual width is 24 feet and the width of the scale drawing is 8 inches, we have:
Scale Factor = 24 feet / 8 inches = 3 feet per inch
Now, we can find the length of the scale drawing:
Length of Scale Drawing = Scale Factor * Actual Length
Length of Scale Drawing = 3 feet/inch * 36 feet = 108 inches
Therefore, the length of the scale drawing is 108 inches.
To find the area of the mural in the scale drawing, we can simply multiply the width and length of the scale drawing:
Area = Width * Length
Area = 8 inches * 108 inches = 864 square inches
Therefore, the area of the mural in the scale drawing is 864 square inches.