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dalvyx [7]
3 years ago
8

A piece of carpet is 8 feet wide and 12 feet long the carpet needs to be reduced by a scale farctor so that the reduced carpet i

s 2 feet wide. What is the area of the reduced carpet?
Mathematics
1 answer:
Murljashka [212]3 years ago
5 0

Answer: 6 ft ^  2

Step-by-step explanation:

We have been given that 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.

First of all, let us find the scale factor by which the width of the carpet has been reduced.

<em>Original width of carpet x scale factor = 12</em>

<em>Dividing both sides by 8 feet we will get:</em>

<u><em>8 feet x Scale factor/8 ft = 2/8 ft</em></u>

<em>Scale Factor = 1/4 </em>

<em>Let us find the length of carpet after reduced by a scale factor of 1/4. </em>

Length of the carpet after reducing a factor of 1/4=12 ft x 1/4

Length of the carpet after reducing a factor of 1/4=3 ft.

Now we will multiply the reduced length and width of the carpet to find the area of reduced carpet.

Area of reduced carpet = 2 ft x 3 ft

Area of reduced carpet = 6 ft

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

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