The figure, not drawn to scale, is made up of 3 identical rectangles, FGHJ, KLMN and PQRK. Each rectangle has an area of 12 cm². Point K is the centre of rectangle FGHJ.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the rectangle KLMN from point K, we can see that the shaded area is
14 of rectangle KLMN.
Similary, if we pivot the rectangle PQRK from point K, we can see that the shaded area is
14 of rectangle PQRK.
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 12
= 6 cm
2 Answer(s): (a)
45; (b) 6 cm
2