The figure, not drawn to scale, is made up of a square and a rectangle. The area of the square is
14 the area of the rectangle. Given that
12 of the square is shaded, what fraction of the whole figure is unshaded?
Square |
Rectangle |
1x2 = 2 u |
4x2 = 8 u |
Unshaded Area |
Shaded Area |
Unshaded Area |
1x1 |
1x1 |
8 u - 1 u |
1 u |
1 u |
7 u |
The area of the square is the combined repeated identity. Make the area of the square the same. LCM of 1 and 2 is 2.
Total area of the figure
= 1 u + 8 u
= 9 u
Unshaded area of the figure
= 1 u + 7 u
= 8 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
89 Answer(s):
89