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PAINTING Lisa is painting a fence that is 26 feet long and 7 feet tall. A gallon of paint will cover 350 square feet. Write and solve a proportion to determine how many gallons of paint Lisa will need.

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Luv2Teach
First we need to find the area of the fence, since paint covers square feet and squared units refers to area.  The area of the fence is 26 x 7, which is 182 sq ft.  If one gallon of paint will cover 350 sq ft, your proportion will look like this, with gallons of paint on top and square feet on the bottom. [tex] \frac{1}{350} = \frac{x}{182} [/tex].  Cross multiply to get 350x = 182 and x = .52, just a bit over a half of a gallon of paint.
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The required portion of paint required for the wall in gallon will be 0.52 gallons of paint.

We calculate the total area of the fence thus :

  • Area of fence = Length × width

  • Area of fence = 26 feets × 7 feets = 182 feet²

Since one gallon of paint covers only 350ft²

The gallon of paint required can be calculated thus :

1 gallon = 350 ft²

x gallon = 182 ft²

Cross multiply

350x = 182

x = 182 / 350

x = 0.52 gallon

Therefore, Lisa will need 0.52 gallon of paint for the wall.

Learn more : https://brainly.com/question/18796573

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