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
To find the length of the mural in the scale drawing, we need to set up a proportion using the dimensions of the actual mural and the scale drawing.
Actual width: Actual length = Scale width : Scale length
24 feet : 36 feet = 8 inches : x inches
Solving for x, we have:
24/36 = 8/x
24x = 36(8)
24x = 288
x = 288/24
x = 12
So, the length of the mural in the scale drawing is 12 inches.
To find the area of the mural in the scale drawing, we use the formula for the area of the mural:
Area = Width x Length
Area = 8 inches x 12 inches
Area = 96 square inches
Therefore, the AREA, in inches, of the mural in the scale drawing is 96 in^2.