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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Penning for Pony

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What are the dimensions of the largest rectangular pen Ted can make for his pony?

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Tripling Perimeter

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Find the length and width of a rectangle.

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Rectangular Percents

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Compare a rectangle’s area when its length and width are changed.

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Tri-Square Trios

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Find pairs of triangular numbers whose sum is a square number.

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Almost a Square

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What rectangle can you form that is close in shape to a square?

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Dividing Rectangles

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Find the possible areas of a rectangle that is formed from a larger integral rectangle.

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Rectangle Squares

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Given the perimeter of a rectangle, find its area.

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