The figure, not drawn to scale, is made up of 3 identical squares, NPQR, STUV and WXYS. The length of each square is 8 cm. Point S is the centre of square NPQR.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the square STUV from point S, we can see that the shaded area is
14 of square STUV.
Similary, if we pivot the square WXYS from point S, we can see that the shaded area is
14 of square WXYS.
Fraction of the figure that is shaded =
210 =
15 (b)
Fraction of the figure that is unshaded
= 1 -
15 =
45 Area of each square
= 8 x 8
= 64 cm
2 Area of the shaded parts
= 2 x
14 x 64
= 32 cm
2 Area of the unshaded parts
= 4 x 32
= 128 cm
2 Answer(s): (a)
15; (b) 128 cm
2 
