00:01
This problem tells us that the area of a rectangular wall of a barn is 108 square feet, and its length is 12 feet longer than the width, and we want to find the length and the width of the barn.
00:09
So the length is being compared to the width, so we're going to say that our width is x, whatever that measurement is, and if the length is 12 feet longer than the width, that means that our length would be equal to the width value plus 12.
00:23
And if we want to find area, area is length times width.
00:26
So we would multiply our width of x times x plus 12.
00:31
And whatever x is, when we multiply, that should give us our area of 108 feet squared.
00:37
So now we can start to solve by distributing x to get x squared plus 12x.
00:42
And since we have x squared and 12x, i'm going to subtract 108 over to be on that side of the equal sign, equal to zero.
00:49
That way we can attempt to try to factor.
00:51
And if factoring doesn't work, we'd have to do quadratic formula or another method.
00:54
But in this form, we can ask ourselves what two numbers multiply to be negative 108, but also add to be 12...