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tensa zangetsu
1 month ago
7

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 st

ain. 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?
Mathematics
2 answers:
Zina [12.3K]1 month ago
4 0

Answer:   \frac{23\times 10.4 +10.5\times 7.2}{200}  gallon

Step-by-step explanation:

One gallon of stain covers 200 square feet of decking.

⇒ The amount of stain required for each square foot is \frac{1}{200} gallon.

Now, calculating the total decking area: It consists of a rectangle measuring 23 × 10.4 and another measuring 10.5 × 7.2.

= ( 23 × 10.4 + 10.5 × 7.2 ) feet^2

⇒ Thus, the amount of stain needed for one square foot is \frac{23\times 10.4 +10.5\times 7.2}{200}  gallon

=  \frac{314.8}{200}

= 1.574 gallon.



Svet_ta [12.7K]1 month ago
4 0
He will require a minimum of 2 gallons of the stain, although he won't utilize the entire second gallon.
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