Need help with this Algebra sheet

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Step-by-step explanation:

Let's say the length is l and the width is w. Since the problem says that the length is "six times the quantity of five less than half its width", we can write the equation:

l = 6 * (w/2 - 5)

Now, the area of a rectangle is of the form: A = lw, where l is the length and w is the width. We can substitute the expression of l above into the equation:

Hope this helps!