The figure, not drawn to scale, is made up of 2 identical rectangles, FGHJ and KLMN. Each rectangle has an area of 96 cm². Point K is the centre of rectangle FGHJ.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the rectangle KLMN from point K, we can see that the shaded area is
14 of rectangle KLMN.
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 96
= 24 cm
2 Area of the unshaded parts
= 6 x 24
= 144 cm
2 Answer(s): (a)
17; (b) 144 cm
2