The figure, not drawn to scale, is made up of Rectangle R and Rectangle S overlapping each other. The area of Rectangle R is
12 the area of Rectangle S. Given that
13 of Rectangle R is shaded. What fraction of the total area of the figure is unshaded?
Rectangle R |
Rectangle S |
1x3 = 3 u |
2x3 = 6 u |
Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
1x1 |
2x1 |
1x1 |
|
1 u |
2 u |
1 u |
5 u |
Rectangle R and Rectangle S share the same shaded area.
Rectangle R is the combined repeated identity. Make the area of Rectangle R the same. LCM of 1 and 3 is 3.
Total unshaded areas
= 2 u + 5 u
= 7 u
Total area of the figure
= 1 u + 2 u + 5 u
= 8 u
Fraction of the figure unshaded
=
78 Answer(s):
78