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
15 of the square is shaded, what fraction of the whole figure is unshaded?
Square |
Rectangle |
1x5 = 5 u |
3x5 = 15 u |
Unshaded Area |
Shaded Area |
Unshaded Area |
4x1 |
1x1 |
15 u - 1 u |
4 u |
1 u |
14 u |
The area of the square is the combined repeated identity. Make the area of the square the same. LCM of 1 and 5 is 5.
Total area of the figure
= 4 u + 15 u
= 19 u
Unshaded area of the figure
= 4 u + 14 u
= 18 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
1819 Answer(s):
1819