The figure, not drawn to scale, is made up of 3 identical rectangles, CDEF, GHJK and LMNG. Each rectangle has an area of 76 cm². Point G is the centre of rectangle CDEF.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the rectangle GHJK from point G, we can see that the shaded area is
14 of rectangle GHJK.
Similary, if we pivot the rectangle LMNG from point G, we can see that the shaded area is
14 of rectangle LMNG.
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 76
= 38 cm
2 Answer(s): (a)
45; (b) 38 cm
2