The figure, not drawn to scale, is made up of 2 identical rectangles, QRST and UVWX. Each rectangle has an area of 88 cm². Point U is the centre of rectangle QRST.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the rectangle UVWX from point U, we can see that the shaded area is
14 of rectangle UVWX.
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 88
= 22 cm
2 Area of the unshaded parts
= 6 x 22
= 132 cm
2 Answer(s): (a)
17; (b) 132 cm
2