A rectangle is partitioned into 8 squares, as shown below. If the smallest square in the center has a side length and area equal to 1, what is the area of the entire rectangle?

Right triangle ABC is rotated and translated to A’B’C’, as shown below, with B’ exterior to ABC. What is the area of the shaded region BDC divided by the area of the entire shape BADB’A’B?

A rectangle measures 17 units by 26 units and contains 7 squares, as shown below. What is the area of a single square?

A square is divided into 5 rectangles. Each rectangle has the same area. The top left rectangle has a width equal to 4, as shown. What is the area of the square?

In rectangle ABCD, point G is the midpoint of AD, and points E and F trisect BC. The diagonal BD intersects GE at H and GF at I. If the area of ABCD is 10, what is the area of triangle HIG?

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?