The figure, not drawn to scale, is made up of Rectangle F and Rectangle G overlapping each other. The area of Rectangle F is
15 the area of Rectangle G. Given that
15 of Rectangle F is shaded. What fraction of the total area of the figure is unshaded?
Rectangle F |
Rectangle G |
1x5 = 5 u |
5x5 = 25 u |
Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
1x1 |
4x1 |
1x1 |
|
1 u |
4 u |
1 u |
24 u |
Rectangle F and Rectangle G share the same shaded area.
Rectangle F is the combined repeated identity. Make the area of Rectangle F the same. LCM of 1 and 5 is 5.
Total unshaded areas
= 4 u + 24 u
= 28 u
Total area of the figure
= 1 u + 4 u + 24 u
= 29 u
Fraction of the figure unshaded
=
2829 Answer(s):
2829