The figure, not drawn to scale, is made up of a square and a rectangle. The area of the square is
18 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 |
8x2 = 16 u |
Unshaded Area |
Shaded Area |
Unshaded Area |
1x1 |
1x1 |
16 u - 1 u |
1 u |
1 u |
15 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 + 16 u
= 17 u
Unshaded area of the figure
= 1 u + 15 u
= 16 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
1617 Answer(s):
1617