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)
To find the length of the mural in the scale drawing, we can set up a proportion using the given measurements.
Width of the mural in the real world: 24 feet
Length of the mural in the real world: 36 feet
Width of the mural in the scale drawing: 8 inches
Let x represent the length of the mural in the scale drawing in inches.
24 feet / 36 feet = 8 inches / x inches
Cross multiply to solve for x:
24 * x = 36 * 8
24x = 288
x = 288 / 24
x = 12
Therefore, the length of the mural in the scale drawing is 12 inches.
To find the area of the mural in the scale drawing, we can multiply the width and length:
Area = Width * Length
Area = 8 inches * 12 inches
Area = 96 square inches
Therefore, the area of the mural in the scale drawing is 96 square inches.