00:01
So in this problem, we're being asked to write an equation to represent the perimeter and area of a rectangle.
00:05
Now, we know that the length is three more than twice as width, and they're telling us to use w to represent the width.
00:12
So what we need to do is write an expression to represent the length.
00:16
Well, remember twice means two times, and then we're adding three to that.
00:21
So to represent the length, we would use the expression 2w plus 3 to represent 3 more than twice as width.
00:30
So now that we have expressions to represent both the length and the lift, let's start by writing the perimeter.
00:36
Well, remember, to find the perimeter of a rectangle, the formula would be 2 times w plus 2 times l.
00:42
Well, we know that w is our width, and now we have an expression for the length.
00:47
So we're going to substitute 2w plus 3 in place of l.
00:50
So when we do this, we'll have p equals 2w plus 2 times the quantity of 2w plus 3.
00:57
And now we just want to simplify the expression...