Consider Ashley's pennant to have the following shape
In our case, b=8 inches. The area of a triangle of base b and height h is given by the expression
[tex]\frac{b\cdot h}{2}[/tex]
Since b=8, we get
[tex]\frac{8\cdot h}{2}=4\cdot h[/tex]
Now, this expression represents the area of the triangle. We are told that this area should be at least 28 squared inches, then we have the inequality
[tex]4\cdot h\ge28[/tex]
If we divide by 4 on both sides, we get
[tex]h\ge\frac{28}{4}=7[/tex]
So the height of the pennant should be at least 7 inches
