The figure, not drawn to scale, is made up of a square and a circle. The area of the circle is
14 the area of the square. Given that
25 of the circle is shaded, what fraction of the whole figure is unshaded?
Circle |
Square |
1x5 = 5 u |
4x5 = 20 u |
Unshaded Area |
Shaded Area |
Unshaded Area |
3x1 |
2x1 |
20 u - 2 u |
3 u |
2 u |
18 u |
The area of the circle is the combined repeated identity. Make the area of the circle the same. LCM of 1 and 5 is 5.
Total area of the figure
= 3 u + 20 u
= 23 u
Unshaded area of the figure
= 3 u + 18 u
= 21 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
2123 Answer(s):
2123