A piece of paper measuring 8 by 6 is folded several times, as shown. What is the area of the final shape? (Some smart aleck will point out that folding does not technically change the area of the paper, so imagine the final shape is a separate 2d object in the plane and calculate the area enclosed by its boundary.)
A rectangle measures 17 units by 26 units and contains 7 squares, as shown below. What is the area of a single square?
A rectangle is divided by four lines, as shown, with 4 of the resulting triangles having known areas. Find the area of the quadrilateral that is shaded in grey.
A right trapezoid is partitioned into 4 triangles by its diagonals, as shown:
Which colored region has a largest area?
Three rectangles are in a row, as shown below. The first and second rectangles have a combined width equal to 7 m. The second and third have a combined width equal to 8 m. If the first rectangle has an area equal to 20 m2 and the third has an area equal to 25 m2, what is the area of the second rectangle?
In rectangle ABCD, a semicircle CPS is drawn as shown below. The semicircle’s diameter is shared with and extends beyond side BC, it intersects side AB at Q, and it is tangent to side AD at S. If CQ = 10, what is the area of rectangle ABCD?
