Question

if the yellow strip on a road is 4 inches wide a gallon of will make a 300-ft long strip if the strip is reduced down to 3-in wide how long a strip will the gallon paint​

Answer 1

Answer: 400 feet, 4800 inches

Step-by-step explanation: i believe it is 400 feet because if you calculate the area of the first strip you would get 14400 in INCHES. you already know one dimension of the next strip, 3 inches so divide 14400 by 3 because we now know a gallon can paint 14400 inches. then u get 4800 inches, divided by twelve gives you the feet! so the answer is 400 i think

sorry if my answer was really confusing

Answer 2

Answer:

400 feet

Step-by-step explanation:

First we need to find out how much surface area a gallon of paint can cover.

We also need to make sure we're using the same units.

4 inches × 300 feet = a gallon of paint

1 foot = 12 inches

300 feet = (12 × 300) 3600 inches

4 inches × 3600 inches = 14,400 inches² = 1 gallon of paint

If the strip is reduced down to 3 inches, how long will the strip be?

We can now form an equation. 14,400 inches is the total, 3 inches is a known variable and the length of the strip is unknown.

Let the unknown be x

3 × x = 14,400

x = 14,400 inches² ÷ 3 inches

x = 4800 inches

We should now change this back to feet by dividing 4800 inches by 12

4800 ÷ 12 = 400 feet