In the figure, not drawn to scale, 30% of the triangle JML is shaded. The ratio of the shaded part of the circle to the unshaded part of the circle is 2 : 9. What percentage of the rectangle HJLK is unshaded?
Shaded Circle |
Unshaded Circle |
Shaded Triangle |
Total Triangle |
2x3 |
9x3 |
3x2 |
10x2 |
6 u |
27 u |
6 u |
20 u |
30% =
30100 =
310 The shaded part of the figure is the repeated identity. Make the shaded part of the figure the same. LCM of 3 and 2 is 6.
Total area of the rectangle
= 2 x Total triangle
= 2 x 20 u
= 40 u
Unshaded areas
= 40 u - 6 u
= 34 u
Percentage of Rectangle HJLK that is unshaded
=
Unshaded areasArea of Rectangle HJLK x 100%
=
3440 x 100%
= 85%
Answer(s): 85%