The figure, not drawn to scale, is made up of 3 identical squares, HJKL, MNPQ and RSTM. The length of each square is 30 cm. Point M is the centre of square HJKL.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the square MNPQ from point M, we can see that the shaded area is
14 of square MNPQ.
Similary, if we pivot the square RSTM from point M, we can see that the shaded area is
14 of square RSTM.
Fraction of the figure that is shaded =
210 =
15 Fraction of the figure that is unshaded
= 1 -
15 =
45 (b)
Area of each square
= 30 x 30
= 900 cm
2 Area of the shaded parts
= 2 x
14 x 900
= 450 cm
2 Answer(s): (a)
45; (b) 450 cm
2