The figure, not drawn to scale, is made up of 3 identical rectangles, HJKL, MNPQ and RSTM. Each rectangle has an area of 34 cm². Point M is the centre of rectangle HJKL.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the rectangle MNPQ from point M, we can see that the shaded area is
14 of rectangle MNPQ.
Similary, if we pivot the rectangle RSTM from point M, we can see that the shaded area is
14 of rectangle RSTM.
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 34
= 17 cm
2 Answer(s): (a)
45; (b) 17 cm
2