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