The figure, not drawn to scale, shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle P is 3 : 13. The ratio of the shaded area to the area of Rectangle Q is 2 : 7. Find the ratio of the unshaded area to the total area of the figure.
| Rectangle P |
Shaded Area |
Rectangle Q |
| 13 x 2 |
3 x 2 |
|
| |
2 x 3 |
7 x 3 |
| 26 u |
6 u |
21 u |
The shaded area is the same for both rectangles.
LCM of 2 and 3 = 6
Total area of the figure
= 26 u + 21 u - 6 u
= 41 u
Unshaded area
= 41 u - 6 u
= 35 u
Unshaded area : Total area of the figure
35 : 41
Answer(s): 35 : 41
