The figure, not drawn to scale, is made up of 3 identical squares, JKLM, NPQR and STUN. The length of each square is 49 cm. Point N is the centre of square JKLM.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the square NPQR from point N, we can see that the shaded area is
14 of square NPQR.
Similary, if we pivot the square STUN from point N, we can see that the shaded area is
14 of square STUN.
Fraction of the figure that is shaded =
210 =
15 Fraction of the figure that is unshaded
= 1 -
15 =
45 (b)
Area of each square
= 49 x 49
= 2401 cm
2 Area of the shaded parts
= 2 x
14 x 2401
= 1200.5 cm
2 Answer(s): (a)
45; (b) 1200.5 cm
2 
