The figure, not drawn to scale, is made up of a square and a rectangle. The area of the square is
17 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 |
7x3 = 21 u |
Unshaded Area |
Shaded Area |
Unshaded Area |
2x1 |
1x1 |
21 u - 1 u |
2 u |
1 u |
20 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 + 21 u
= 23 u
Unshaded area of the figure
= 2 u + 20 u
= 22 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
2223 Answer(s):
2223