In the figure, not drawn to scale, 20% of the triangle UXW is shaded. The ratio of the shaded part of the circle to the unshaded part of the circle is 3 : 5. What percentage of the rectangle TUWV is unshaded?
Shaded Circle |
Unshaded Circle |
Shaded Triangle |
Total Triangle |
3x1 |
5x1 |
1x3 |
5x3 |
3 u |
5 u |
3 u |
15 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 3 is 3.
Total area of the rectangle
= 2 x Total triangle
= 2 x 15 u
= 30 u
Unshaded areas
= 30 u - 3 u
= 27 u
Percentage of Rectangle TUWV that is unshaded
=
Unshaded areasArea of Rectangle TUWV x 100%
=
2730 x 100%
= 90%
Answer(s): 90%