Question

Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:

rectangle with a length of x plus 25 and width of x plus 15 with a rectangle in the bottom right corner labeled bench that has a length of 10 and width of 3


Write an equation to determine the area, A, of the patio that will be painted.


A = (x + 18)(x + 35)

A = (x + 15)(x + 25) + 30

A = (x + 5)(x + 22)

A = (x + 25)(x + 15) − 30

Answer 1

A = (x + 18)(x + 35)

Explanation:

Answer 2

A = (x + 25)(x + 15) − 30

Explanation:

Area of the patio:

• Sp = lw
• l = x +25
• w = x + 15
• S = (x + 25)(x + 15)

Area of bench:

• Sb= lw = 10*3 = 30

Area A to be painted is the area of patio minus area of bench:

• A = (x + 25)(x + 15) - 30

So the last choice is the correct one.