Answer:
The base of the triangle should be 2 feet
Step-by-step explanation:
Let the base of the triangle be y
She wants the height of the banner to be 4 times as tall as the width of the base of the triangle
So height is = [tex]4 \times y[/tex] = 4y
Now we know that the area of the triangle is =[tex]\frac{1}{2} (base \times height)[/tex]
we also know that total area of the banner is 8 feet squared
Then
[tex]8 = \frac{1}{2}(y \times 4y)[/tex]
[tex]8 = \frac{4y^2}{2}[/tex]
[tex]16 = 4y^2[/tex]
[tex]\frac{16}{4} = y^2[/tex]
[tex]4 = y^2[/tex]
[tex]y = \sqrt{4}[/tex]
y = 2
Width if the base of the triangle is 2 feet
