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????

1 answer

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.