The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle K is 5 : 8. The ratio of the shaded area to the area of Rectangle L is 2 : 7. Find the ratio of the unshaded area to the total area of the figure.
| Rectangle K |
Shaded Area |
Rectangle L |
| 8 x 2 |
5 x 2 |
|
| |
2 x 5 |
7 x 5 |
| 16 u |
10 u |
35 u |
The shaded area is the same for both rectangles.
LCM of 2 and 5 = 10
Total area of the figure
= 16 u + 35 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
