The figure, not drawn to scale, is made up of 3 identical squares, MNPQ, RSTU and VWXR. The length of each square is 29 cm. Point R is the centre of square MNPQ.
- What fraction of the figure is unshaded?
- What is the area of the shaded parts?
(a)
If we pivot the square RSTU from point R, we can see that the shaded area is
14 of square RSTU.
Similary, if we pivot the square VWXR from point R, we can see that the shaded area is
14 of square VWXR.
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