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 determine the number of gallons of stain Bradley will need, we first need to calculate the area of both decking sections and then find the total area. After that, we can find how many gallons of stain he will need based on the coverage provided by one gallon.

1. Calculate the area of the first rectangular area: Area 1 = Length × Width = 23 feet × 10.4 feet

2. Calculate the area of the second rectangular area: Area 2 = Length × Width = 10.5 feet × 7.2 feet

3. Calculate the total area: Total Area = Area 1 + Area 2

4. To find the number of gallons of stain needed, we divide the total area by the coverage of one gallon (200 square feet): Gallons Needed = Total Area / 200

Now, let's look at the provided expressions:

• The correct expression for the number of gallons of stain Bradley will need is:

  \[ \left( (23 \times 10.4) + (10.5 \times 7.2) \right) / 200 \]

So, the answer is: \(\left( (23) (10.4) + (10.5) (7.2) \right) \div 200\)