Area - squares and rectangles

Work out the radius of a roll of adhesive tape.

Weekly Problem 9 - 2006
What fraction of the area of the rectangle is shaded?

Weekly Problem 33 - 2006
A square is inscribed in an isoscles right angled triangle of area $x$. What is the area of the square?

Weekly Problem 3 - 2007
What is the ratio of the area of the table covered twice, to the uncovered 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?

This quadrilateral has an unusual shape. Are you able to find its area?

This diagram has symmetry of order four. Can you use different geometric properties to find a particular length?

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.

Cut off three right angled isosceles triangles to produce a pentagon. With two lines, cut the pentagon into three parts which can be rearranged into another square.

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?