Don't Trust Your Eyes

Geometry Level 3

ACEGACEG is a rectangle. If segment BE \color{#3D99F6}{BE} is 30, segment CG\color{#D61F06}{CG} is 40, segment DF\color{#20A900}{DF} is 15 and FDE=90\angle FDE = 90^\circ. Find CECE.

Give your answer to the nearest integer.

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