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Someone help me please . Write an equation to model the given situation. The area of a rectangle is 48 square centimeters. The length of the rectangle is 8 centimeters longer than the width.
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Let's use l to denote length and w to denote width. What is the formula for computing the area of a rectangle given its length and width?
\[Area = l \times w\]
\[l = w + 8\]
Length is always longer than the width. In this case, the length is exactly 8cm longer than the width.
We can then express the area of this rectangle in either length only or width only.
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\[Area = l \times (l-8) = w \times (w+8) = 48\]
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