The figure, not drawn to scale, is made up of Rectangle J and Rectangle K overlapping each other. The area of Rectangle J is
14 the area of Rectangle K. Given that
14 of Rectangle J is shaded. What fraction of the total area of the figure is unshaded?
Rectangle J |
Rectangle K |
1x4 = 4 u |
4x4 = 16 u |
Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
1x1 |
3x1 |
1x1 |
|
1 u |
3 u |
1 u |
15 u |
Rectangle J and Rectangle K share the same shaded area.
Rectangle J is the combined repeated identity. Make the area of Rectangle J the same. LCM of 1 and 4 is 4.
Total unshaded areas
= 3 u + 15 u
= 18 u
Total area of the figure
= 1 u + 3 u + 15 u
= 19 u
Fraction of the figure unshaded
=
1819 Answer(s):
1819