The figure, not drawn to scale, is made up of 2 identical rectangles, MNPQ and RSTU. Each rectangle has an area of 92 cm². Point R is the centre of rectangle MNPQ.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the rectangle RSTU from point R, we can see that the shaded area is
14 of rectangle RSTU.
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 92
= 23 cm
2 Area of the unshaded parts
= 6 x 23
= 138 cm
2 Answer(s): (a)
17; (b) 138 cm
2