The figure, not drawn to scale, is made up of a triangle and a rectangle. The area of the triangle is
27 the area of the rectangle. Given that
12 of the triangle is shaded, what fraction of the whole figure is unshaded?
| Triangle |
Rectangle |
| 2x1 = 2 u |
7x1 = 7 u |
| Unshaded Area |
Shaded Area |
Unshaded Area |
| 1x1 |
1x1 |
7 u - 1 u |
| 1 u |
1 u |
6 u |
The area of the triangle is the combined repeated identity. Make the area of the triangle the same. LCM of 2 and 2 is 2.
Total area of the figure
= 1 u + 7 u
= 8 u
Unshaded area of the figure
= 1 u + 6 u
= 7 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
78 Answer(s):
78 
