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 2 : 7. What percentage of the rectangle ABDC is shaded?
Shaded Circle |
Unshaded Circle |
Shaded Triangle |
Total Triangle |
2x1 |
7x1 |
2x1 |
5x1 |
2 u |
7 u |
2 u |
5 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 2 is 2.
Total area of the rectangle
= 2 x Total triangle
= 2 x 5 u
= 10 u
Percentage of Rectangle ABDC that is shaded
=
Shaded areaArea of Rectangle ABDC x 100%
=
210 x 100%
= 20%
Answer(s): 20%