Given the three integers are
, we arrive at

We can merge the fractions on the left side:


A(w) = -w² + 100w
Step-by-step explanation: Initially, we need to express the length (l) of the rectangular area in terms of the width (w). Given that the total perimeter of the rectangle is 200 feet implies that 2(w + l) = 200, leading to l = 100 - w. Hence, the area A can be given as width multiplied by length: A = w * l = w * (100 - w) = -w² + 100w. Consequently, A(w) = -w² + 100w.
Brent could represent a rectangle with the dimensions of x - 1 and x - 6, then demonstrate that the area equals the combination of x^2, -x, -6x, and 6.
Step-by-step explanation:
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