the lenght of a painting is 2 inches longer than the width. the area is of the painting is 48 in2. If a 3 inch frame is put around the painting what is the area of the frame

Answer: 120 inches

Step-by-step explanation:

Given: Length = 2 + Width

Area = 48

AP = Length * Width

Substitute the first equation into second equation. This will be:

48 = (2 + W) * W

48 = 2W + W^2

0 = W^2 + 2W - 48

Width = (6, - 8) but we can't have negative number, therefore the width = 6 inches

Then, substitute the answer back into the first equation,

Length = 2 + 6 = 8 inches

To have frame of 3 inches all around,

Length = 8 + 6 = 14 inches,

Width = 6 + 6 = 12 inches

Area of the frame with the painting will be:

Area = Length * Breadth

= 14 * 12

= 168 inches^2

Just the frame = 168 - 48

= 120 inches square.