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 point) Responses 864 in2 864 in2 40 in2 40 in2 72 in2 72 in2 96 in2 96 in2
To find the length of the mural in the scale drawing, we first need to find the scale factor.
Scale factor = width of scale drawing / width of actual mural
Scale factor = 8 inches / 24 feet = 1/3
Now, calculate the length of the mural in the scale drawing:
Length of scale drawing = scale factor * actual length of the mural
Length of scale drawing = 1/3 * 36 feet = 12 feet
Convert 12 feet to inches:
12 feet * 12 inches/foot = 144 inches
Now, calculate the area of the mural in the scale drawing:
Area = width * length
Area = 8 inches * 144 inches = 1152 square inches
Therefore, the correct answer is 1152 square inches.