The figure, not drawn to scale, is made up of 3 identical rectangles, PQRS, TUVW and XYZT. Each rectangle has an area of 66 cm². Point T is the centre of rectangle PQRS.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the rectangle TUVW from point T, we can see that the shaded area is
14 of rectangle TUVW.
Similary, if we pivot the rectangle XYZT from point T, we can see that the shaded area is
14 of rectangle XYZT.
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 66
= 33 cm
2 Answer(s): (a)
45; (b) 33 cm
2