The figure is made up of 3 similar overlapping squares of side 8 cm. The squares touched one another at Corners H,J,K,L and M. Glen shaded the parts where the squares overlapped each other.
- Find the area of the unshaded part of the figure.
- What fraction of the figure is the shaded part?
(a)
Area of 3 squares
= 3 x (8 x 8)
= 192 cm
2Area of 4 triangles (due to 2 overlapping triangles)
= 4 x (
12 x 8 x 4)
= 64 cm
2 Area of the unshaded part of the figure
= 192 - 64
= 128 cm
2
(b)
Area of the shaded part
=
12 x (8 x 8)
= 32 cm
2 Total area
= 128 + 32
= 160 cm
2
Fraction of the shaded part to the figure
=
32160 =
15 Answer(s): (a) 128 cm
2; (b)
15