Answer:
Option G. 27.4 ft
Step-by-step explanation:
step 1
Calculate the maximum number of cans of paint Kieran can buy with $45
Let
x -----> the number of cans of paint
we know that
The number of cans of paints multiplied by it cost plus the cost of a rooler paint must be less than or equal to $45
so
[tex]9.75+17.00x \leq 45[/tex]
Solve the inequality for x
Subtract 9.75 both sides
[tex]17.00x \leq 45-9.75[/tex]
[tex]17.00x \leq 35.25[/tex]
Divide by 17 both sides
[tex]x \leq 2.07\ cans[/tex]
so
The maximum number of cans that Kieran can purchase is 2 cans
step 2
Find the maximum area covered with 2 cans of paint
we know that
One can of paint covers approximately 375 square feet
therefore
To find out the area covered with 2 cans multiply 375 by 2
[tex]375(2)=750\ ft^2[/tex]
step 3
Find the maximum possible length side of the wooden platform
we know that
The wooden platform is in the shape of a square
so
The area of a square is
[tex]A=b^{2}[/tex]
where
b is the length side of the square
we have
[tex]A=750\ ft^2[/tex]
substitute and solve for b
[tex]750=b^{2}[/tex]
square root both sides
[tex]b=27.4\ ft[/tex]
