To find the relationship between the area and the width of a rectangle, we can analyze the equation A(w) = w^2 + 5w.
In this equation, A(w) represents the area of the rectangle in square units, and w represents the width of the rectangle. The length of the rectangle is 5 units longer than its width, which means the length can be represented by w + 5.
The formula for the area of a rectangle is length multiplied by width. Therefore, using the given information, we can set up the equation:
A(w) = (w + 5)w
Multiplying w by w + 5, we have:
A(w) = w^2 + 5w
So, the equation A(w) = w^2 + 5w represents the relationship between the area in square units and the width of a rectangle whose length is 5 units longer than its width.
The equation A(w)=w2+5w represents the relationship between the area in square units
and the width of a rectangle whose length is 5 units longer than its width.
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