In the figure, not drawn to scale, 20% of the triangle ADC is shaded. The ratio of the shaded part of the circle to the unshaded part of the circle is 7 : 9. What percentage of the rectangle ZACB is shaded?
Shaded Circle |
Unshaded Circle |
Shaded Triangle |
Total Triangle |
7x1 |
9x1 |
1x7 |
5x7 |
7 u |
9 u |
7 u |
35 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 7 is 7.
Total area of the rectangle
= 2 x Total triangle
= 2 x 35 u
= 70 u
Percentage of Rectangle ZACB that is shaded
=
Shaded areaArea of Rectangle ZACB x 100%
=
770 x 100%
= 10%
Answer(s): 10%