A gallon of stain is enough to cover 200 square feet of decking. Bradley has two areas of decking he would like to cover with stain. One rectangular area is 23 feet by 10.4 feet, and the other is 10.5 feet by 7.2 feet. Which expression gives the number of gallons of stain Bradley will need?

Question

Left-bracket (23) (10.5) + (10.4) (7.2) right-bracket divided by 200
Left-bracket (23) (10.4) + (10.5) (7.2) right-bracket divided by 200
Left-bracket (23) (10.5) + (10.4) (7.2) right-bracket times 200
Left-bracket (23) (10.4) + (10.5) (7.2) right-bracket times 200

Answer 1

To find the total amount of stain Bradley will need, we first need to calculate the total area of the decking he wants to cover and then divide that total area by the coverage provided by a gallon of stain.

1. Calculate the area of the first rectangle:
   Area1 = length × width = 23 feet × 10.4 feet

2. Calculate the area of the second rectangle:
   Area2 = length × width = 10.5 feet × 7.2 feet

3. Combine the areas to get the total area:
   Total Area = Area1 + Area2

4. Since one gallon covers 200 square feet, the number of gallons needed is:
   Gallons needed = Total Area / 200

Putting this all together, the expression that correctly represents the number of gallons of stain needed is:
\[ \frac{(23 \cdot 10.4) + (10.5 \cdot 7.2)}{200} \]

Therefore, the correct option is:
Left-bracket (23) (10.4) + (10.5) (7.2) right-bracket divided by 200.