The figure, not drawn to scale, is made up of 3 identical rectangles, JKLM, NPQR and STUN. Each rectangle has an area of 96 cm². Point N is the centre of rectangle JKLM.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the rectangle NPQR from point N, we can see that the shaded area is
14 of rectangle NPQR.
Similary, if we pivot the rectangle STUN from point N, we can see that the shaded area is
14 of rectangle STUN.
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 96
= 48 cm
2 Answer(s): (a)
45; (b) 48 cm
2