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The area of a rectangle is x^2-4/2x in.^2 and its length is (x+2)^2/2 in. What is the width in inches?


A. x(x+2)/x-2

B. x+2/x(x+2)

C. x-2/x(x-2)

D. x-2/x(x+2)

The area of a rectangle is x 2 4 2x in 2 and its length is x 2 2 2 in What is the width

Answer :

Final answer:

The width of the rectangle is given by the expression (2x^2 - 8) / (2x(x+2)).

Explanation:

To find the width of the rectangle, we need to divide the area by the length. So, the formula for the width is:

Width = Area/Length

Substituting the given values, we have:

Width = (x^2-4/2x) / ((x+2)^2/2)

Simplifying the expression by multiplying with the reciprocal of the denominator, we get:

Width = (x^2 - 4/2x) * (2/(x+2)^2)

Expanding the expression and simplifying further, we obtain:

Width = (2x^2 - 8) / (2x(x+2))

Therefore, the width of the rectangle in inches is given by the expression (2x^2 - 8) / (2x(x+2)).

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