Use differentiation to find the area of the largest rectangle with sides parallel to the coordinate

Question

Use differentiation to find the area of the largest rectangle with sides parallel to the coordinate axes, lying above the $x$- axis and below the curve with equation $y=44+4x-{{x}^{2}}$.[5]

Accepted Answer

$256$ units$^2$

2019 ACJC P1 Q2

2019 ACJC P1 Q2

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