Final answer:
To paint an additional 402 square feet of wall in Tom's garage, he will need approximately 0.3 gallons of paint.
Step-by-step explanation:
To find the amount of paint Tom will need to paint an additional 402 square feet of wall, we can use the information provided. We know that it took 1/5 gallon of paint to cover 268 square feet of wall. This means that for every 268 square feet, Tom used 1/5 gallon of paint. To find out how many more gallons he will need for 402 square feet, we can set up a proportion:
1/5 gallon / 268 square feet = x gallons / 402 square feet
Cross multiplying, we get: 268 square feet * x gallons = 1/5 gallon * 402 square feet
Simplifying, we get: x = (1/5) * (402/268) gallons
Calculating the expression, x = 402/1340 gallons
Therefore, Tom will need approximately 0.3 gallons of paint to paint an additional 402 square feet of wall.