The figure, not drawn to scale, is made up of 3 identical rectangles, BCDE, FGHJ and KLMF. Each rectangle has an area of 22 cm². Point F is the centre of rectangle BCDE.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the rectangle FGHJ from point F, we can see that the shaded area is
14 of rectangle FGHJ.
Similary, if we pivot the rectangle KLMF from point F, we can see that the shaded area is
14 of rectangle KLMF.
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 22
= 11 cm
2 Answer(s): (a)
45; (b) 11 cm
2