A rectangular mural is 24 feet in width and 36 feet in legth. A scale drwing of the mural has a width of 8 inches. Find the length. What is the preimeter, in inches, of the mural in the scale drawing. (1 point)
A. 68 inches
B. 20 inches
C. 12 inches
D. 40 inches
To find the length of the scale drawing, we need to set up a proportion:
24 feet (actual width) / 8 inches (scale width) = 36 feet (actual length) / x inches (scale length)
Cross multiplying, we get:
24 * x = 8 * 36
24x = 288
x = 12
So, the length of the scale drawing is 12 inches.
To find the perimeter of the mural in the scale drawing, we need to calculate the perimeter of the actual mural and then scale it down by the same factor.
Perimeter of actual mural = 2(24 + 36) = 2(60) = 120 feet = 1440 inches
Scale factor = 1440 inches / 24 inches = 60
Perimeter of the scale drawing = 1440 inches / 60 = 24 inches
Therefore, the answer is C. 12 inches.