Answer
Find out the base.
To prove
As given
The area of a triangular-shaped rug is 12 square yards and the height is 3 yards.
Formula
[tex]Area\ of\ triangle = \frac{1\times base\times height}{2}[/tex]
As given
Area = 12 square yards
Height = 3 yards
Put in the formua
[tex]12 = \frac{1\times Base\times 3}{2}[/tex]
[tex]Base= \frac{12\times 2}{3}[/tex]
[tex]Base= \frac{24}{3}[/tex]
Base = 8 yards
Therefore the base of the triangular-shaped rug is 8 yards.