The figure, not drawn to scale, is made up of a triangle and a rectangle. The area of the triangle is
37 the area of the rectangle. Given that
12 of the triangle is shaded, what fraction of the whole figure is unshaded?
Triangle |
Rectangle |
3x2 = 6 u |
7x2 = 14 u |
Unshaded Area |
Shaded Area |
Unshaded Area |
1x3 |
1x3 |
14 u - 3 u |
3 u |
3 u |
11 u |
The area of the triangle is the combined repeated identity. Make the area of the triangle the same. LCM of 3 and 2 is 6.
Total area of the figure
= 3 u + 14 u
= 17 u
Unshaded area of the figure
= 3 u + 11 u
= 14 u
Fraction of the whole figure unshaded
=
Unshaded areaWhole figure=
1417 Answer(s):
1417