Level 3
Fadil has a rectangular piece of paper measuring 42 cm by 20 cm as shown in Figure 1. He cuts out a square from the paper and shifts it to the side of the remaining piece of paper to create a new figure as shown in Figure 2. There is no overlapping of the 2 pieces of paper. Figure 2 has a perimeter of 168 cm. What is the area of the square that was cut out?
4 m
Level 3
The figure, not drawn to scale, is made up of 3 identical small squares within a larger square of length 12 cm. The perimeter of the unshaded portion of the figure is 40 cm. What is the area of the shaded portion of the figure?
4 m
Level 3
The figure shows Square X and Square Y inside Square ABCD. The area of Square Y is 49 cm2 and the area of Square ABCD is 81 cm2.
  1. Find the length of AE
  2. Find the area of the shaded region.
4 m
Level 3
The figure is made up of 2 different squares. The perimeter of the shaded part is 64 cm and the area of the shaded part is 135 cm2. Find the area of the unshaded square.
4 m
Level 3
The diagram shows a rectangle RSUP, which is made up of square RSTQ and rectangle QTUP. Figure X, Y and Z are squares and the area of square Z is 1 m2. The area of square X is 23 of the shaded area in rectangle QTUP and QA = AT. Find the unshaded area of rectangle QTUP.
4 m