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riadik2000 [5.3K]
3 years ago
9

The area of a rectangular garden can be expressed as A = 2x^2 -x -6. The width of the garden is 2x+3. Find an expression for the

length of the garden. Write it below.
Mathematics
1 answer:
zalisa [80]3 years ago
5 0

Answer:

Step-by-step explanation:

2x² -x - 6 = 2x² - 4x + 3x - 3*2

              = 2x*(x - 2) + 3*(x - 2)

              = (x-2)(2x + 3)

A = 2x² -x - 6

A = (x - 2)(2x + 3)

length*width = (x - 2)(2x + 3)

length * (2x +3) = (x - 2)(2x + 3)

length=\frac{(x-2)(2x+3)}{(2x+3)}

length = x - 2

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