The figure, not drawn to scale, shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle L is 3 : 8. The ratio of the shaded area to the area of Rectangle M is 2 : 5. Find the ratio of the unshaded area to the total area of the figure.
Rectangle L |
Shaded Area |
Rectangle M |
8 x 2 |
3 x 2 |
|
|
2 x 3 |
5 x 3 |
16 u |
6 u |
15 u |
The shaded area is the same for both rectangles.
LCM of 2 and 3 = 6
Total area of the figure
= 16 u + 15 u - 6 u
= 25 u
Unshaded area
= 25 u - 6 u
= 19 u
Unshaded area : Total area of the figure
19 : 25
Answer(s): 19 : 25