The figure, not drawn to scale, is made up of 2 identical squares, LMNP and QRST. The length of each square is 41 cm. Point Q is the centre of square LMNP.
- What fraction of the figure is unshaded?
- What is the area of the shaded part?
(a)
If we pivot the square QRST from point Q, we can see that the shaded area is
14 of square QRST.
Fraction of the figure that is shaded =
17 Fraction of the figure that is unshaded
= 1 -
17=
67 (b)
Area of each square
= 41 x 41
= 1681 cm
2 Area of the shaded part
=
14 x 1681
= 420.25 cm
2 Answer(s): (a)
67; (b) 420.25 cm
2