The figure, not drawn to scale, is made up of 2 identical rectangles, KLMN and PQRS. Each rectangle has an area of 72 cm². Point P is the centre of rectangle KLMN.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the rectangle PQRS from point P, we can see that the shaded area is
14 of rectangle PQRS.
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 72
= 18 cm
2 Area of the unshaded parts
= 6 x 18
= 108 cm
2 Answer(s): (a)
17; (b) 108 cm
2