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Length and Area

If the area of a square is 144, what is the perimeter of the square? If a square and a circle have the same perimeter, which of them will have a greater area?

Problem Solving

         

The width of a rectangular conference room table is \(3 \mbox{ ft}\) and the area of the conference table's surface is \(45 \mbox{ ft}^2\). What is the length of the conference table (in \(\mbox{ft}\))?

A square has a side length of 8 inches. What is the area (in inches\(^2\)) of the square?

\(ABCD\) is a rectangle with \(AB =200\) and \(BC = 480\). \(E \) is a point on \(CD\) (possibly extended) such that \(AE=EC\). What is the length of \(DE\)?

\(ABCD\) is a quadrilateral with \(\angle ADC = \angle ACD\), \(\angle ACB = \angle ABC\) and \(CD = 8\). If triangles \(ADC\) and \(ABC\) have perimeters \(58\) and \(69\), respectively, what is the value of \(BC\)?

If \(\overline{AC}=10\), what is the area of square \(ABCD\)?

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