The figure, not drawn to scale, is made up of 2 identical squares, QRST and UVWX. The length of each square is 21 cm. Point U is the centre of square QRST.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
(a)
If we pivot the square UVWX from point U, we can see that the shaded area is
14 of square UVWX.
Fraction of the figure that is shaded =
17 (b)
Fraction of the figure that is unshaded
= 1 -
17 =
67 Area of each square
= 21 x 21
= 441 cm
2 Area of the shaded part
=
14 x 441
= 110.25 cm
2 Area of the unshaded parts
= 6 x 110.25
= 661.5 cm
2 Answer(s): (a)
17; (b) 661.5 cm
2