The figure, not drawn to scale, is made up of 3 identical squares, KLMN, PQRS and TUVP. The length of each square is 29 cm. Point P is the centre of square KLMN.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the square PQRS from point P, we can see that the shaded area is
14 of square PQRS.
Similary, if we pivot the square TUVP from point P, we can see that the shaded area is
14 of square TUVP.
Fraction of the figure that is shaded =
210 =
15 Fraction of the figure that is unshaded
= 1 -
15 =
45 (b)
Area of each square
= 29 x 29
= 841 cm
2 Area of the shaded parts
= 2 x
14 x 841
= 420.5 cm
2 Answer(s): (a)
45; (b) 420.5 cm
2 
