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
12 of the triangle is shaded, what fraction of the whole figure is unshaded?
Triangle |
Rectangle |
2x1 = 2 u |
5x1 = 5 u |
Unshaded Area |
Shaded Area |
Unshaded Area |
1x1 |
1x1 |
5 u - 1 u |
1 u |
1 u |
4 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 + 5 u
= 6 u
Unshaded area of the figure
= 1 u + 4 u
= 5 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
56 Answer(s):
56