The figure, not drawn to scale, is made up of 3 identical squares, GHJK, LMNP and QRSL. The length of each square is 38 cm. Point L is the centre of square GHJK.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the square LMNP from point L, we can see that the shaded area is
14 of square LMNP.
Similary, if we pivot the square QRSL from point L, we can see that the shaded area is
14 of square QRSL.
Fraction of the figure that is shaded =
210 =
15 Fraction of the figure that is unshaded
= 1 -
15 =
45 (b)
Area of each square
= 38 x 38
= 1444 cm
2 Area of the shaded parts
= 2 x
14 x 1444
= 722 cm
2 Answer(s): (a)
45; (b) 722 cm
2