The figure, not drawn to scale, is made up of 2 identical rectangles, ABCD and EFGH. Each rectangle has an area of 20 cm². Point E is the centre of rectangle ABCD.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the rectangle EFGH from point E, we can see that the shaded area is
14 of rectangle EFGH.
Fraction of the figure that is shaded =
17 (b)
Fraction of the figure that is unshaded
= 1 -
17 =
67 Area of the shaded part
=
14 x 20
= 5 cm
2 Area of the unshaded parts
= 6 x 5
= 30 cm
2 Answer(s): (a)
17; (b) 30 cm
2