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Problem of the Week

Problem D

Shady Square

Rectangle \(STUV\) has square \(PQRS\) removed, leaving an area of \(92\mbox{ m}^2\).
Side \(PT\) is \(4\mbox{ m}\) in length and side \(RV\) is \(8\mbox{ m}\) in length.
What is the area of rectangle \(STUV\)?

Square P Q R S has vertex P on side S T of rectangle S T U V, and vertex R on side S V. Vertex Q in the interior of rectangle S T U V.