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.
what is it
1 gal / 350 ft^2 = x gal / (26 * 7) ft^2
To determine how many gallons of paint Lisa will need, we can set up a proportion.
Let's define:
x = number of gallons of paint needed
The area of the fence is calculated by multiplying its length and height:
Area of the fence = length × height
Area of the fence = 26 feet × 7 feet
Now, we can set up the proportion:
x gallons of paint / 1 = Area of the fence / 350 square feet
To solve the proportion, we use cross-multiplication:
x = (Area of the fence × 1) / 350
x = (26 feet × 7 feet) / 350
x = 182 square feet / 350
x = 0.52
Therefore, Lisa will need approximately 0.52 gallons of paint to cover the fence.