Question

Hey, 50 points!

Harrison and Alex are putting a fence around a field that has a perimeter of 384ft. The length is 6ft greater than 2 times the width. Find the width of the field.

Answer 1

a perimeter is made up of a length and width, obviously, so you can write that out algebraically as 2L+2W=P. Now, since the length is 6ft greater than 2 times the width, it can be written as 2W+6. If we plug our new L value in now, we would make the equation 2(2W+6)+2W=P. From here on out, you just gotta plug and chug.

2(2W+6)+2W=P

2(2W+6)+2W=384

4W+12+2W=384

6W+12=384

6W=372

W=62