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 PERIMETER, in inches, of the mural in the scale drawing????
First, we need to find the scale factor used in the drawing.
Width in actual size = 24 feet = 24*12 = 288 inches
Width in scale drawing = 8 inches
Scale factor = Width in actual size / Width in scale drawing = 288/8 = 36
Now, to find the length in the scale drawing:
Length in actual size = 36 feet = 36*12 = 432 inches
Length in scale drawing = Length in actual size / Scale factor = 432/36 = 12 inches
Now, the perimeter of the mural in the scale drawing:
Perimeter = 2(Width + Length) = 2(8 + 12) = 2*20 = 40 inches
Therefore, the perimeter of the mural in the scale drawing is 40 inches.