The figure, not drawn to scale, is made up of 2 identical squares, ABCD and EFGH. The length of each square is 5 cm. Point E is the centre of square ABCD.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the square EFGH from point E, we can see that the shaded area is
14 of square EFGH.
Fraction of the figure that is shaded =
17 (b)
Fraction of the figure that is unshaded
= 1 -
17 =
67 Area of each square
= 5 x 5
= 25 cm
2 Area of the shaded part
=
14 x 25
= 6.25 cm
2 Area of the unshaded parts
= 6 x 6.25
= 37.5 cm
2 Answer(s): (a)
17; (b) 37.5 cm
2