Same Area: Triangle & Square

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Construct a triangle that always has the same area as a square.

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Rhombus and Circular Pool

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Find a way to build the largest circular pool in a rhombus-shaped backyard.

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Triangle or Square

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Dissect a triangle into four parts so that it can be rearranged into a square.

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Increasing Area

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If the area of a rectangle increases, how much does its length and width increase?

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Folding Squares

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Use the perimeter of a rectangle to determine the area of a square.

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Biggie Size It (Square)

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If the area of a square increases by a certain amount, how long is an edge of the original square?

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Land Dispute

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Help settle a dispute over land between Squaresville and Centerville.

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Constructing Squares

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Can you construct a square that has twice the area of another square?

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Triangle in a Quadrilateral

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Given the ratio of a quadrilateral’s length to width, find the ratio of the area of a special shaded region to the area of the quadrilateral.

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Minimum Perimeters

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Find the minimum perimeter for a rectangle with a given area.

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