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2(1.5x)+2(x)200

Step-by-step explanation:

We need to use the perimeter of a rectangle formula in this problem, because she is building a garden not to fill with wood.

Formula for perimeter of rectangle:

2L+2W=Perimeter

We also know that she wants her length to be 1.5 times her width, so we will replace the "L" and "W" with "1.5x" and "x" respectively. Additionally, we know that she has 200 ft of wood to work with (therefore she can only use up to 200 ft)

New formula:

2(1.5x) + 2(x) 200

Simplify: 3x+2x 200⇒ 5x200⇒ x40

The max value of x is 40, so the max value of the 1.5x is 60

Hope it helped!

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