The figure, not drawn to scale, is made up of 2 identical squares, HJKL and MNPQ. The length of each square is 30 cm. Point M is the centre of square HJKL.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the square MNPQ from point M, we can see that the shaded area is
14 of square MNPQ.
Fraction of the figure that is shaded =
17 (b)
Fraction of the figure that is unshaded
= 1 -
17 =
67 Area of each square
= 30 x 30
= 900 cm
2 Area of the shaded part
=
14 x 900
= 225 cm
2 Area of the unshaded parts
= 6 x 225
= 1350 cm
2 Answer(s): (a)
17; (b) 1350 cm
2