The figure, not drawn to scale, is made up of 2 identical squares, FGHJ and KLMN. The length of each square is 17 cm. Point K is the centre of square FGHJ.
- What fraction of the figure is unshaded?
- What is the area of the shaded part?
(a)
If we pivot the square KLMN from point K, we can see that the shaded area is
14 of square KLMN.
Fraction of the figure that is shaded =
17 Fraction of the figure that is unshaded
= 1 -
17=
67 (b)
Area of each square
= 17 x 17
= 289 cm
2 Area of the shaded part
=
14 x 289
= 72.25 cm
2 Answer(s): (a)
67; (b) 72.25 cm
2