The figure, not drawn to scale, is made up of 3 identical rectangles, KLMN, PQRS and TUVP. Each rectangle has an area of 82 cm². Point P is the centre of rectangle KLMN.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the rectangle PQRS from point P, we can see that the shaded area is
14 of rectangle PQRS.
Similary, if we pivot the rectangle TUVP from point P, we can see that the shaded area is
14 of rectangle TUVP.
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 82
= 41 cm
2 Answer(s): (a)
45; (b) 41 cm
2