AMC / AIME · Quadratics · Hard

Quadratics: A rectangle has perimeter math and area math. Find its longer side.

Factor and complete square.

Try the problem

A rectangle has perimeter 3030 and area 5656. Find its longer side.

Hint and answer

Concept to use

Parameter ranges.

Hint

Use factoring, Vieta's relations, or the discriminant.

Answer

8

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