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Joshua wants to surround a 16-in. By 20-in. Painting with a frame that is x inches wide. Write a quadratic function a in standard form to represent the combined area of the painting and frame.

User Jrreda
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1 Answer

6 votes

Answer:

Explanation:

Given that the width of the frame of the painting is x inches wide and the dimension of the painting alone is 16 in by 20 in, it means that the combined length of the painting and the frame would be

20 + x + x = 20 + 2x

The combined width of the painting and the frame would be

16 + x + x = 16 + 2x

The quadratic quadratic function in standard form used to represent the combined area of the painting and frame is

(20 + 2x)(16 + 2x)

320 + 40x + 32x + 4x²

4x² + 72x + 320

User Tobi Obeck
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