A rectangle has a fixed perimeter of 40 units. What is the greatest possible area of the rectangle?

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A particle moves along a line with displacement $x = t^{3} - 6 t^{2} + 9 t$ metres at time $t$ seconds. At what time $t > 0$ is the particle first…
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A rectangle has a fixed perimeter of 28 units. What is the greatest possible area of the rectangle?
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A rectangle has a fixed perimeter of 24 units. What is the greatest possible area of the rectangle?