- A triangular banner is twice as long as its height. The banner has an area of 648 square inches.
What is the length and the width of the banner?​

Respuesta :

Answer:

Height = 25.46 inches

Width = 50.92 inches

Step-by-step explanation:

We can say area of a triangle is :

Area = 1/2 * length * height

The banner is twice as long and height, we can say:

length = 2*height

Since, area given as 648, we can write:

[tex]Area=\frac{1}{2}*length*height\\Area = \frac{1}{2}*(2*height)(height)\\648=height^2\\height = \sqrt{648}\\ height=25.46[/tex]

Height = 25.46 inches

Width = 2 * 25.46 = 50.92 inches