The figure, not drawn to scale, is made up of a square and a rectangle. The area of the square is
13 the area of the rectangle. Given that
13 of the square is shaded, what fraction of the whole figure is unshaded?
Square |
Rectangle |
1x3 = 3 u |
3x3 = 9 u |
Unshaded Area |
Shaded Area |
Unshaded Area |
2x1 |
1x1 |
9 u - 1 u |
2 u |
1 u |
8 u |
The area of the square is the combined repeated identity. Make the area of the square the same. LCM of 1 and 3 is 3.
Total area of the figure
= 2 u + 9 u
= 11 u
Unshaded area of the figure
= 2 u + 8 u
= 10 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
1011 Answer(s):
1011