In the figure, not drawn to scale, 40% of the triangle UXW is shaded. The ratio of the shaded part of the circle to the unshaded part of the circle is 4 : 5. What percentage of the rectangle TUWV is unshaded?
Shaded Circle |
Unshaded Circle |
Shaded Triangle |
Total Triangle |
4x1 |
5x1 |
2x2 |
5x2 |
4 u |
5 u |
4 u |
10 u |
40% =
40100 =
25 The shaded part of the figure is the repeated identity. Make the shaded part of the figure the same. LCM of 2 and 4 is 4.
Total area of the rectangle
= 2 x Total triangle
= 2 x 10 u
= 20 u
Unshaded areas
= 20 u - 4 u
= 16 u
Percentage of Rectangle TUWV that is unshaded
=
Unshaded areasArea of Rectangle TUWV x 100%
=
1620 x 100%
= 80%
Answer(s): 80%