In the figure, not drawn to scale, 20% of the triangle FJH is shaded. The ratio of the shaded part of the circle to the unshaded part of the circle is 5 : 9. What percentage of the rectangle EFHG is unshaded?
Shaded Circle |
Unshaded Circle |
Shaded Triangle |
Total Triangle |
5x1 |
9x1 |
1x5 |
5x5 |
5 u |
9 u |
5 u |
25 u |
20% =
20100 =
15 The shaded part of the figure is the repeated identity. Make the shaded part of the figure the same. LCM of 1 and 5 is 5.
Total area of the rectangle
= 2 x Total triangle
= 2 x 25 u
= 50 u
Unshaded areas
= 50 u - 5 u
= 45 u
Percentage of Rectangle EFHG that is unshaded
=
Unshaded areasArea of Rectangle EFHG x 100%
=
4550 x 100%
= 90%
Answer(s): 90%