The figure, not drawn to scale, shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle U is 5 : 13. The ratio of the shaded area to the area of Rectangle V is 2 : 5. Find the ratio of the unshaded area to the total area of the figure.
| Rectangle U |
Shaded Area |
Rectangle V |
| 13 x 2 |
5 x 2 |
|
| |
2 x 5 |
5 x 5 |
| 26 u |
10 u |
25 u |
The shaded area is the same for both rectangles.
LCM of 2 and 5 = 10
Total area of the figure
= 26 u + 25 u - 10 u
= 41 u
Unshaded area
= 41 u - 10 u
= 31 u
Unshaded area : Total area of the figure
31 : 41
Answer(s): 31 : 41
