The figure, not drawn to scale, is made up of a triangle and a rectangle. The area of the triangle is
25 the area of the rectangle. Given that
14 of the triangle is shaded, what fraction of the whole figure is unshaded?
Triangle |
Rectangle |
2x2 = 4 u |
5x2 = 10 u |
Unshaded Area |
Shaded Area |
Unshaded Area |
3x1 |
1x1 |
10 u - 1 u |
3 u |
1 u |
9 u |
The area of the triangle is the combined repeated identity. Make the area of the triangle the same. LCM of 2 and 4 is 4.
Total area of the figure
= 3 u + 10 u
= 13 u
Unshaded area of the figure
= 3 u + 9 u
= 12 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
1213 Answer(s):
1213