The figure, not drawn to scale, is made up of 2 identical squares, NPQR and STUV. The length of each square is 22 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
= 22 x 22
= 484 cm
2 Area of the shaded part
=
14 x 484
= 121 cm
2 Area of the unshaded parts
= 6 x 121
= 726 cm
2 Answer(s): (a)
17; (b) 726 cm
2