8.1.4 Interpreting a Solution

Algebra 18.1.4 Interpreting a Solution

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

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

Enter the width.

Compare your answer:

8 inches

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

Enter the length.

Compare your answer:

10 inches

What would a solution to the equation $100 = (2 x + 8) (2 x + 10)$ 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.

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