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- [Voiceover] A sketch is drawn that is six inches by nine inches. Just looking at our model here, the sketch is this orange rectangle. Lets go ahead and label the short length six inches and the longer length nine inches. It is put in a frame of uniform width. So the blue part is the frame with uniform width. If the area of the sketch is equal to the area of the frame, what is the width of the frame? Lets first find the area of the sketch. Because its a rectangle we know area is equal to length times width, so in this case itd be nine times six, which equals 54 square inches. We also know the frame has uniform width, but because the width is unknown, lets let the variable X equal the width of the frame. Which means in our diagram, this would be X inches and so would this, and the same is true for every corner. This is X, and this is X inches, and so on. Next were told the area of the sketch is equal to the area of the frame. We know the sketch has an area of 54 square inches, w
