The figure, not drawn to scale, is made up of 3 identical squares, LMNP, QRST and UVWQ. The length of each square is 37 cm. Point Q is the centre of square LMNP.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the square QRST from point Q, we can see that the shaded area is
14 of square QRST.
Similary, if we pivot the square UVWQ from point Q, we can see that the shaded area is
14 of square UVWQ.
Fraction of the figure that is shaded =
210 =
15 (b)
Fraction of the figure that is unshaded
= 1 -
15 =
45 Area of each square
= 37 x 37
= 1369 cm
2 Area of the shaded parts
= 2 x
14 x 1369
= 684.5 cm
2 Area of the unshaded parts
= 4 x 684.5
= 2738 cm
2 Answer(s): (a)
15; (b) 2738 cm
2