The figure, not drawn to scale, is made up of 3 identical rectangles, LMNP, QRST and UVWQ. Each rectangle has an area of 58 cm². Point Q is the centre of rectangle LMNP.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the rectangle QRST from point Q, we can see that the shaded area is
14 of rectangle QRST.
Similary, if we pivot the rectangle UVWQ from point Q, we can see that the shaded area is
14 of rectangle UVWQ.
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 58
= 29 cm
2 Answer(s): (a)
45; (b) 29 cm
2