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If the diagonal of rectangle \(Z\) is \(d,\) and the perimeter of rectangle \(Z\) is \(p,\) what is the area of rectangle \(Z,\) in terms of \(d\) and \(p?\)
(A) \(\dfrac{d^2 – p}3\)
(B) \(\dfrac{2d^2 – p}2\)
(C) \(\dfrac{p – d^2}2\)
(D) \(\dfrac{12d^2 – p^2}8\)
(E) \(\dfrac{p^2 – 4d^2}8\)
[spoiler]OA=E[/spoiler]
Source: Manhattan GMAT
(A) \(\dfrac{d^2 – p}3\)
(B) \(\dfrac{2d^2 – p}2\)
(C) \(\dfrac{p – d^2}2\)
(D) \(\dfrac{12d^2 – p^2}8\)
(E) \(\dfrac{p^2 – 4d^2}8\)
[spoiler]OA=E[/spoiler]
Source: Manhattan GMAT
