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.

Question

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.
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.

Answer 1

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's dimensions are:

• Height = 10 ft
• Width = 12 ft

The area of the wall is calculated by multiplying the height and the width:

\[ \text{Area} = \text{Height} \times \text{Width} = 10 , \text{ft} \times 12 , \text{ft} = 120 , \text{square feet} \]

Brandon's paint covers 160 square feet.

Now we compare the area of the wall to the coverage of the paint:

• Area of the wall = 120 square feet
• Coverage per gallon of paint = 160 square feet

Since 120 square feet (area of the wall) is less than 160 square feet (coverage of the paint), Brandon has enough paint to cover the wall.

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