The figure, not drawn to scale, is made up of a triangle and a rectangle. The area of the triangle is
15 the area of the rectangle. Given that
14 of the triangle is shaded, what fraction of the whole figure is unshaded?
Triangle |
Rectangle |
1x4 = 4 u |
5x4 = 20 u |
Unshaded Area |
Shaded Area |
Unshaded Area |
3x1 |
1x1 |
20 u - 1 u |
3 u |
1 u |
19 u |
The area of the triangle is the combined repeated identity. Make the area of the triangle the same. LCM of 1 and 4 is 4.
Total area of the figure
= 3 u + 20 u
= 23 u
Unshaded area of the figure
= 3 u + 19 u
= 22 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
2223 Answer(s):
2223