The figure, not drawn to scale, is made up of 3 identical squares, PQRS, TUVW and XYZT. The length of each square is 32 cm. Point T is the centre of square PQRS.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the square TUVW from point T, we can see that the shaded area is
14 of square TUVW.
Similary, if we pivot the square XYZT from point T, we can see that the shaded area is
14 of square XYZT.
Fraction of the figure that is shaded =
210 =
15 (b)
Fraction of the figure that is unshaded
= 1 -
15 =
45 Area of each square
= 32 x 32
= 1024 cm
2 Area of the shaded parts
= 2 x
14 x 1024
= 512 cm
2 Area of the unshaded parts
= 4 x 512
= 2048 cm
2 Answer(s): (a)
15; (b) 2048 cm
2 
