In the figure, not drawn to scale, 40% of the triangle YBA 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 XYAZ is shaded?
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
Percentage of Rectangle XYAZ that is shaded
=
Shaded areaArea of Rectangle XYAZ x 100%
=
420 x 100%
= 20%
Answer(s): 20%