The figure, not drawn to scale, is made up of 3 identical squares, HJKL, MNPQ and RSTM. The length of each square is 43 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.
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 (b)
Fraction of the figure that is unshaded
= 1 -
15 =
45 Area of each square
= 43 x 43
= 1849 cm
2 Area of the shaded parts
= 2 x
14 x 1849
= 924.5 cm
2 Area of the unshaded parts
= 4 x 924.5
= 3698 cm
2 Answer(s): (a)
15; (b) 3698 cm
2