In the figure, not drawn to scale, 40% of the triangle BED 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 ABDC is shaded?
Shaded Circle |
Unshaded Circle |
Shaded Triangle |
Total Triangle |
7x2 |
9x2 |
2x7 |
5x7 |
14 u |
18 u |
14 u |
35 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 7 is 14.
Total area of the rectangle
= 2 x Total triangle
= 2 x 35 u
= 70 u
Percentage of Rectangle ABDC that is shaded
=
Shaded areaArea of Rectangle ABDC x 100%
=
1470 x 100%
= 20%
Answer(s): 20%