In the figure, not drawn to scale, 20% of the triangle VYX is shaded. The ratio of the shaded part of the circle to the unshaded part of the circle is 2 : 5. What percentage of the rectangle UVXW is shaded?
Shaded Circle |
Unshaded Circle |
Shaded Triangle |
Total Triangle |
2x1 |
5x1 |
1x2 |
5x2 |
2 u |
5 u |
2 u |
10 u |
20% =
20100 =
15 The shaded part of the figure is the repeated identity. Make the shaded part of the figure the same. LCM of 1 and 2 is 2.
Total area of the rectangle
= 2 x Total triangle
= 2 x 10 u
= 20 u
Percentage of Rectangle UVXW that is shaded
=
Shaded areaArea of Rectangle UVXW x 100%
=
220 x 100%
= 10%
Answer(s): 10%