The figure, not drawn to scale, is made up of 2 identical squares, MNPQ and RSTU. The length of each square is 50 cm. Point R is the centre of square MNPQ.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the square RSTU from point R, we can see that the shaded area is
14 of square RSTU.
Fraction of the figure that is shaded =
17 (b)
Fraction of the figure that is unshaded
= 1 -
17 =
67 Area of each square
= 50 x 50
= 2500 cm
2 Area of the shaded part
=
14 x 2500
= 625 cm
2 Area of the unshaded parts
= 6 x 625
= 3750 cm
2 Answer(s): (a)
17; (b) 3750 cm
2