The figure, not drawn to scale, is made up of 2 identical squares, NPQR and STUV. The length of each square is 46 cm. Point S is the centre of square NPQR.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the square STUV from point S, we can see that the shaded area is
14 of square STUV.
Fraction of the figure that is shaded =
17 (b)
Fraction of the figure that is unshaded
= 1 -
17 =
67 Area of each square
= 46 x 46
= 2116 cm
2 Area of the shaded part
=
14 x 2116
= 529 cm
2 Area of the unshaded parts
= 6 x 529
= 3174 cm
2 Answer(s): (a)
17; (b) 3174 cm
2