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
13 of the triangle is shaded, what fraction of the whole figure is unshaded?
Triangle |
Rectangle |
2x3 = 6 u |
7x3 = 21 u |
Unshaded Area |
Shaded Area |
Unshaded Area |
2x2 |
1x2 |
21 u - 2 u |
4 u |
2 u |
19 u |
The area of the triangle is the combined repeated identity. Make the area of the triangle the same. LCM of 2 and 3 is 6.
Total area of the figure
= 4 u + 21 u
= 25 u
Unshaded area of the figure
= 4 u + 19 u
= 23 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
2325 Answer(s):
2325