Area - squares and rectangles
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problemSquare in a Triangle
Weekly Problem 33 - 2006
A square is inscribed in an isoscles right angled triangle of area $x$. What is the area of the square? -
problemDouble Cover
Weekly Problem 3 - 2007
What is the ratio of the area of the table covered twice, to the uncovered area? -
problemTangram Area
Weekly Problem 29 - 2008
The seven pieces in this 12 cm by 12 cm square make a Tangram set. What is the area of the shaded parallelogram? -
problemFramed
Seven small rectangular pictures have one inch wide frames. The frames are removed and the pictures are fitted together like a jigsaw to make a rectangle of length 12 inches. Find the dimensions of the pictures.
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problemFour or Five
The diagram shows a large rectangle composed of 9 smaller rectangles. If each of these rectangles has integer sides, what could the area of the large rectangle be?
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problemTriangle in a Hexagon
Weekly Problem 3 - 2009
What fraction of the area of this regular hexagon is the shaded triangle? -
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