In the figure, not drawn to scale, 30% 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 |
3x1 |
10x1 |
3 u |
5 u |
3 u |
10 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 3 is 3.
Total area of the rectangle
= 2 x Total triangle
= 2 x 10 u
= 20 u
Unshaded areas
= 20 u - 3 u
= 17 u
Percentage of Rectangle TUWV that is unshaded
=
Unshaded areasArea of Rectangle TUWV x 100%
=
1720 x 100%
= 85%
Answer(s): 85%