In the figure, not drawn to scale, 30% of the triangle SVU is shaded. The ratio of the shaded part of the circle to the unshaded part of the circle is 5 : 7. What percentage of the rectangle RSUT is shaded?
Shaded Circle |
Unshaded Circle |
Shaded Triangle |
Total Triangle |
5x3 |
7x3 |
3x5 |
10x5 |
15 u |
21 u |
15 u |
50 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 5 is 15.
Total area of the rectangle
= 2 x Total triangle
= 2 x 50 u
= 100 u
Percentage of Rectangle RSUT that is shaded
=
Shaded areaArea of Rectangle RSUT x 100%
=
15100 x 100%
= 15%
Answer(s): 15%