In the figure, not drawn to scale, 40% of the triangle QTS 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 PQSR is shaded?
Shaded Circle |
Unshaded Circle |
Shaded Triangle |
Total Triangle |
5x2 |
7x2 |
2x5 |
5x5 |
10 u |
14 u |
10 u |
25 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 5 is 10.
Total area of the rectangle
= 2 x Total triangle
= 2 x 25 u
= 50 u
Percentage of Rectangle PQSR that is shaded
=
Shaded areaArea of Rectangle PQSR x 100%
=
1050 x 100%
= 20%
Answer(s): 20%