The figure, not drawn to scale, is made up of 2 identical squares, STUV and WXYZ. The length of each square is 35 cm. Point W is the centre of square STUV.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the square WXYZ from point W, we can see that the shaded area is
14 of square WXYZ.
Fraction of the figure that is shaded =
17 (b)
Fraction of the figure that is unshaded
= 1 -
17 =
67 Area of each square
= 35 x 35
= 1225 cm
2 Area of the shaded part
=
14 x 1225
= 306.25 cm
2 Area of the unshaded parts
= 6 x 306.25
= 1837.5 cm
2 Answer(s): (a)
17; (b) 1837.5 cm
2