The figure, not drawn to scale, is made up of 3 identical rectangles, MNPQ, RSTU and VWXR. Each rectangle has an area of 14 cm². Point R is the centre of rectangle MNPQ.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the rectangle RSTU from point R, we can see that the shaded area is
14 of rectangle RSTU.
Similary, if we pivot the rectangle VWXR from point R, we can see that the shaded area is
14 of rectangle VWXR.
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 14
= 7 cm
2 Answer(s): (a)
45; (b) 7 cm
2