Answer :
Answer: [tex]\frac{23\times 10.4 +10.5\times 7.2}{200}[/tex] gallon
Step-by-step explanation:
A gallon of stain is enough to cover 200 square feet of decking.
⇒The quantity of stain is enough to cover 1 square feet = [tex]\frac{1}{200}[/tex] gallon.
Now, the total area of decking = Rectangle having the dimension 23 × 10.4 + Rectangle having the dimension 10.5 × 7.2
= ( 23 × 10.4 + 10.5 × 7.2 ) [tex]feet^2[/tex]
⇒ The quantity of stain is enough to cover 1 square feet = [tex]\frac{23\times 10.4 +10.5\times 7.2}{200}[/tex] gallon
= [tex]\frac{314.8}{200}[/tex]
= 1.574 gallon.
Bradley will need 1.574 gallons of stain.
Given A gallon of stain is enough to cover 200 square feet of decking.
The quantity of stain is enough to cover 1 square feet = [tex]\frac{1}{200}[/tex] gallon.
Now, Bradley has two areas of decking he would like to cover with stain.
One rectangular area = [tex]23\times10.4 ft^{2}[/tex]= [tex]239.2ft^{2}[/tex]
other rectangular area [tex]=10.5\times7.2[/tex][tex]ft^{2}[/tex] =[tex]75.6ft^{2}[/tex]
Now, the total rectangular area of decking = [tex]239.2+75.6 ft^{2}=314.8ft^{2}[/tex]
Now we have 314.8 square ft of area for decking,
So, no of gallons of stain Bradley need =[tex]\frac{1}{200} \times314.8[/tex] = 1.574 gallons.
Hence Bradley will need 1.574 gallons of stain.
For more details on area of rectangle follow the link below:
https://brainly.com/question/14383947