You are painting a rectangular wall with length 5X to the second power seat and with 12 X feet. There is a rectangular door that measures X feet by 2 feet that will not be painted. What is the area of the wall that is to be painted? Write your answer in factored form

It looks like you need to find the area of the wall and subtract the area of the door

(5x2 ∗ 12x) - (x ∗2x)

Simplify each term in the parentheses  

60x3 - 2x2

Then we can factor that expression using the greatest common factor.

The GCF is 2x2 so we divide both terms by 2x2

2x2(30x - 1)

Step-by-step explanation:

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.