The figure, not drawn to scale, is made up of Rectangle H and Rectangle J overlapping each other. The area of Rectangle H is
78 the area of Rectangle J. Given that
12 of Rectangle H is shaded. What fraction of the total area of the figure is unshaded?
Rectangle H |
Rectangle J |
7x2 = 14 u |
8x2 = 16 u |
Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
1x7 |
1x7 |
1x7 |
|
7 u |
7 u |
7 u |
9 u |
Rectangle H and Rectangle J share the same shaded area.
Rectangle H is the combined repeated identity. Make the area of Rectangle H the same. LCM of 7 and 2 is 14.
Total unshaded areas
= 7 u + 9 u
= 16 u
Total area of the figure
= 7 u + 7 u + 9 u
= 23 u
Fraction of the figure unshaded
=
1623 Answer(s):
1623