The figure, not drawn to scale, is made up of 3 identical squares, GHJK, LMNP and QRSL. The length of each square is 18 cm. Point L is the centre of square GHJK.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the square LMNP from point L, we can see that the shaded area is
14 of square LMNP.
Similary, if we pivot the square QRSL from point L, we can see that the shaded area is
14 of square QRSL.
Fraction of the figure that is shaded =
210 =
15 (b)
Fraction of the figure that is unshaded
= 1 -
15 =
45 Area of each square
= 18 x 18
= 324 cm
2 Area of the shaded parts
= 2 x
14 x 324
= 162 cm
2 Area of the unshaded parts
= 4 x 162
= 648 cm
2 Answer(s): (a)
15; (b) 648 cm
2 
