The figure, not drawn to scale, is made up of 3 identical rectangles, NPQR, STUV and WXYS. Each rectangle has an area of 46 cm². Point S is the centre of rectangle NPQR.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the rectangle STUV from point S, we can see that the shaded area is
14 of rectangle STUV.
Similary, if we pivot the rectangle WXYS from point S, we can see that the shaded area is
14 of rectangle WXYS.
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 46
= 23 cm
2 Answer(s): (a)
45; (b) 23 cm
2