A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet is 2 feet wide. What is the area of the reduced carpet?

6 square ft

Its 6 square feet

8/2 = 4, so it is reduced by a factor of 4. The same would be true for the length.

See previous post: Fri, 7-17-15, 11:46 AM.

6 square feet

y is m7= 56

To find the area of the reduced carpet, we need to determine the scale factor by which the original carpet is being reduced.

Given that the original carpet is 8 feet wide and needs to be reduced to 2 feet, the scale factor can be calculated by dividing the width of the reduced carpet by the width of the original carpet:
Scale factor = Reduced width / Original width = 2 feet / 8 feet = 1/4.

Since the scale factor applies to both length and width, the length of the reduced carpet can be found by multiplying the original length by the scale factor:
Reduced length = Original length x Scale factor = 12 feet x 1/4 = 3 feet.

Now that we have the reduced width (2 feet) and the reduced length (3 feet), we can calculate the area of the reduced carpet by multiplying the width by the length:
Area of the reduced carpet = Reduced width x Reduced length = 2 feet x 3 feet = 6 square feet.

Therefore, the area of the reduced carpet is 6 square feet.