In the figure, not drawn to scale, 30% of the triangle VYX 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 UVXW is shaded?
Shaded Circle |
Unshaded Circle |
Shaded Triangle |
Total Triangle |
4x3 |
5x3 |
3x4 |
10x4 |
12 u |
15 u |
12 u |
40 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 4 is 12.
Total area of the rectangle
= 2 x Total triangle
= 2 x 40 u
= 80 u
Percentage of Rectangle UVXW that is shaded
=
Shaded areaArea of Rectangle UVXW x 100%
=
1280 x 100%
= 15%
Answer(s): 15%