The figure, not drawn to scale, is made up of 2 identical rectangles, LMNP and QRST. Each rectangle has an area of 16 cm². Point Q is the centre of rectangle LMNP.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the rectangle QRST from point Q, we can see that the shaded area is
14 of rectangle QRST.
Fraction of the figure that is shaded =
17 (b)
Fraction of the figure that is unshaded
= 1 -
17 =
67 Area of the shaded part
=
14 x 16
= 4 cm
2 Area of the unshaded parts
= 6 x 4
= 24 cm
2 Answer(s): (a)
17; (b) 24 cm
2