The figure, not drawn to scale, is made up of 3 identical squares, ABCD, EFGH and JKLE. The length of each square is 29 cm. Point E is the centre of square ABCD.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the square EFGH from point E, we can see that the shaded area is
14 of square EFGH.
Similary, if we pivot the square JKLE from point E, we can see that the shaded area is
14 of square JKLE.
Fraction of the figure that is shaded =
210 =
15 (b)
Fraction of the figure that is unshaded
= 1 -
15 =
45 Area of each square
= 29 x 29
= 841 cm
2 Area of the shaded parts
= 2 x
14 x 841
= 420.5 cm
2 Area of the unshaded parts
= 4 x 420.5
= 1682 cm
2 Answer(s): (a)
15; (b) 1682 cm
2 
