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)

1 answer

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.