The figure, not drawn to scale, is made up of 2 identical rectangles, JKLM and NPQR. Each rectangle has an area of 32 cm². Point N is the centre of rectangle JKLM.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the rectangle NPQR from point N, we can see that the shaded area is
14 of rectangle NPQR.
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 32
= 8 cm
2 Area of the unshaded parts
= 6 x 8
= 48 cm
2 Answer(s): (a)
17; (b) 48 cm
2