The figure, not drawn to scale, is made up of 3 identical rectangles, GHJK, LMNP and QRSL. Each rectangle has an area of 48 cm². Point L is the centre of rectangle GHJK.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the rectangle LMNP from point L, we can see that the shaded area is
14 of rectangle LMNP.
Similary, if we pivot the rectangle QRSL from point L, we can see that the shaded area is
14 of rectangle QRSL.
Fraction of the figure that is shaded =
210 =
15 Fraction of the figure that is unshaded
= 1 -
15 =
45 (b)
Area of the shaded parts
= 2 x
14 x 48
= 24 cm
2 Answer(s): (a)
45; (b) 24 cm
2