A frame maker made a large picture using 10 feet of frame molding. If the length of the finished frame was 2 feet more than the width, then what were the dimensions of the frame.

P = 2L + 2W

10 = 2(W + 2) + 2W

10 = 4W + 4

6 = 4W

1 1/2 = W

To find the dimensions of the frame, we need to set up an equation based on the given information.

Let's assume the width of the frame is 'w' feet.

According to the given information, the length of the finished frame is 2 feet more than the width. So, the length of the frame can be expressed as 'w + 2' feet.

The frame consists of four sides, so the total length of the frame molding used is equal to the sum of the lengths of all four sides. Since each side of the frame is made using the same amount of frame molding, the length of one side can be expressed as 'w + 2' feet.

Since there are four sides of equal length, the total length of the frame molding used is 4 times the length of one side, which gives us:

4 * (w + 2) = 10

Simplifying the equation:

4w + 8 = 10
4w = 2
w = 2/4
w = 0.5

So, the width of the frame is 0.5 feet.

Now, we can find the length of the frame:

Length = Width + 2 = 0.5 + 2 = 2.5 feet

Therefore, the dimensions of the frame are:
Width = 0.5 feet
Length = 2.5 feet