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
13 of the square is shaded, what fraction of the whole figure is unshaded?
Square |
Rectangle |
1x3 = 3 u |
4x3 = 12 u |
Unshaded Area |
Shaded Area |
Unshaded Area |
2x1 |
1x1 |
12 u - 1 u |
2 u |
1 u |
11 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 + 12 u
= 14 u
Unshaded area of the figure
= 2 u + 11 u
= 13 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
1314 Answer(s):
1314