Brandon bought a gallon of paint that covers 160 square feet. He wants to paint a wall that is 10 ft. high and 12 ft. wide. Explain whether he will need more than one gallon of paint. (1 point) Responses No, he won't need more paint. Brandon has enough paint to cover the 22-square-foot wall. No, he won't need more paint. Brandon has enough paint to cover the 22-square-foot wall. Yes, he will need more paint. Brandon needs another gallon to cover the 240-square-foot wall. Yes, he will need more paint. Brandon needs another gallon to cover the 240-square-foot wall. No, he won't need more paint. Brandon has enough paint to cover the 120-square-foot wall. No, he won't need more paint. Brandon has enough paint to cover the 120-square-foot wall. Yes, he will need more paint. Brandon needs enough paint to cover the 1,200-square-foot wall.

Question

GPT-4o mini · Answer

To determine whether Brandon will need more than one gallon of paint, we first need to calculate the area of the wall he wants to paint.

The wall is 10 feet high and 12 feet wide, so we can calculate the area (A) as follows:

\[ A = \text{height} \times \text{width} = 10 , \text{ft} \times 12 , \text{ft} = 120 , \text{square feet} \]

Next, we need to compare the area of the wall to the coverage provided by one gallon of paint. According to the information given, one gallon of paint covers 160 square feet.

Since the area of the wall (120 square feet) is less than the coverage of one gallon of paint (160 square feet), Brandon will not need more than one gallon of paint.

Thus, the correct response is:

No, he won't need more paint. Brandon has enough paint to cover the 120-square-foot wall.