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Interpreting a Solution

8.1.4 Interpreting a Solution

8.1.4 • Interpreting a Solution

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A framed picture has a total area yy, in square inches. The thickness of the frame is represented by xx, in inches. The equation y=(2x+8)(2x+10)y=(2x+8)(2x+10) relates these two variables.

1.

What is the width, or shorter side, of the picture without the frame?

Compare your answer:

8 inches

2.

What is the length, or longer side, of the picture without the frame?

Compare your answer:

10 inches

3.

What would a solution to the equation 100=(2x+8)(2x+10)100=(2x+8)(2x+10) mean in this situation?

Compare your answer:

The solution would represent the thickness of a frame that results in a total area of 100 square inches.