In the figure, not drawn to scale, 30% of the triangle WZY is shaded. The ratio of the shaded part of the circle to the unshaded part of the circle is 7 : 9. What percentage of the rectangle VWYX is shaded?
Shaded Circle |
Unshaded Circle |
Shaded Triangle |
Total Triangle |
7x3 |
9x3 |
3x7 |
10x7 |
21 u |
27 u |
21 u |
70 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 7 is 21.
Total area of the rectangle
= 2 x Total triangle
= 2 x 70 u
= 140 u
Percentage of Rectangle VWYX that is shaded
=
Shaded areaArea of Rectangle VWYX x 100%
=
21140 x 100%
= 15%
Answer(s): 15%