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sweet-ann [11.9K]
3 years ago
14

Jake is framing a square painting with side lenghths of (x+4) inches. The total area of the painting and the frame has a side le

ngth of (2x-3) inches. Write an expression for the area of the frame. It says (Hint: Label sides and find shaded region) Type answer with NO spaces and use ^ to show exponent

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer:

3x^2-20x-7 in^2.

Step-by-step explanation:

The area of the frame = total area - area of the painting.

This is (2x-3)^2-(x+4)^2

= 4x^2-12x+9-(x^2+8x+16)

= 4x^2-12x+9-x^2-8x-16

= 3x^2-20x-7 in^2.

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