Question

Linear equations and inequities (Geometry Applications and solving formulas)a flag is in the shape of a triangle and has an area of 6ft^2. Find the length of the base if its height is 4 ft.

Answer 1

The area of a triangle is given by the following formula:

`A=(1)/(2)b* h`

Where "b" is the base and "h" is the height. From this formula, we can solve for h to get:

`\begin{gathered} (2A)/(h)=b \\ b=(2A)/(h) \end{gathered}`

From the statement of the question, we know that A equals 6ft^2 and h equals 4 ft. By replacing these values into the above formula, we get:

`b=(2(6))/(4)=(12)/(4)=3`

Then, the length of the base of the triangular flag equals 3 ft