The figure is made up of 3 similar overlapping squares of side 10 cm. The squares touched one another at Corners X,Y,Z,A and B. Pierre 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 (10 x 10)
= 300 cm
2Area of 4 triangles (due to 2 overlapping triangles)
= 4 x (
12 x 10 x 5)
= 100 cm
2 Area of the unshaded part of the figure
= 300 - 100
= 200 cm
2
(b)
Area of the shaded part
=
12 x (10 x 10)
= 50 cm
2 Total area
= 200 + 50
= 250 cm
2
Fraction of the shaded part to the figure
=
50250 =
15 Answer(s): (a) 200 cm
2; (b)
15