Here, this question is about extracting information from the text: the only thing you need to know in advance is the formula for area of a rectangle which is length times width equals area ( l x w = a).

To unpack the words, here is a list of what we are told:

- The length is given to us as a function of width which means if I’m selecting something to be “x,” my variable I’m going to make it the width. Thus first things first - “x” will equal my width. Remember though that when we solve this equation we are building it will give us the LENGTH
- We are told “2 feet more than.” “More than sounds a lot like addition doesn’t it? Therefore somewhere in my equation I’m adding two to something!
- We are told “Twice the width.” Twice sounds a lot like multiplication doesn’t it? Therefore, somewhere in my equation I’m multiplying something by 2!
- Finally we are told that the area is 60 square feet! This means what? That l x w = 60! This means that whatever I do in my equation, after the equals sign will be “60l”
- Okay! Time to build the equation!
- First… it’s equal to 60 so it begins with … = 60
- Next, the first thing we said is the width would be x so since we are using l x w = a, I can put in x for the width so… l * x = 60
- Now the tricky part…how is the length defined? Well we know! It’s 2 times the width plus 2! So…this is what the whole thing looks like: (2x+2)x = 60
- Now we solve:
- Distribute the x to eliminate the parentheses: 3x + 2x = 60
- Combine like terms: 5x = 60
- Divid both sides by 5: x = 12
- REMEMBER THAT X IS ONLY THE LENGTH!
- So the width is 12 minus two divided by 2 or 5
- So Length = 12, Width = 5
- check it: l x w = A, 12 x 5 = 60

Done