Question

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

Write an equation to determine the area, A, of the patio that will be painted.
A = (x + 20)(x + 10) + 12

A = (x + 20)(x + 10) − 12

A = (x + 26)(x + 12)

A = (x + 14)(x + 8)

Answer 1

A = (x + 15)(x + 10) − 5

Explanation:

(x+15)(x+10)-5=A would be a solution

To make this easier, let's assign x a value. Let's say 3.

(3+15)(3+10)-5=A

(18)(13)-5=A

234-5=A

A=229

Now with this, we put x in the answer choice and the answer that gives an area of 229 is correct.

A. A=(3+20)(3+10)+12=(23)(13)+12=299+12=311 Answer A is wrong.

B. A=(3+20)(3+10)-12=(23)(13)-12=299-12=287 Answer B is wrong.

C. A=(3+26)(3+15)=(29)(18)=522 Answer C is wrong.

D. A=(3+14)(3+8)=(17)(11)=187 Answer D is wrong.

It's either I'm wrong or the answer choices are wrong.

New answer choices!

A. A=(3+20)(3+11)

=(23)(14)=322 Answer A is wrong.

B. A=(3+15)(3+10)+5

=(18)(13)+5=234+5=239 Answer B is wrong.

C. A=(3+15)(3+10)−5

=(18)(13)-5=234-5=229 Answer C is correct.

D. A=(3+9)(3+10)=(12)(13)=156 Answer D is wrong.