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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 feet
12 square feet
24 square feet
48 square feet

Respuesta :

texaschic101
8 ft wide, 12 ft long......so if u want it 2 ft wide, u have a scale factor of 1/4.
that means ur length will be 12 * 1/4 = 12/4 = 3 ft long

A = L * W
A = 3 * 2
A = 6 square ft <==

The area of the reduced carpet after usage of scale factor is; 6 square feet

How to use scale factor?

We are given the initial dimensions of the carpet as;

Length = 12 ft

Width = 8 ft

If reduced width is 2 ft, then;

The scale factor is 2/8 = ¹/₄

Thus, new length = ¹/₄ * 12 = 3 ft

Area of reduced carpet = 3 * 2 = 6 square feet

Read more about Scale Factor at; https://brainly.com/question/10253650

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