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:

$A=\frac{1}{2}b\times h$

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

$\begin{gathered} \frac{2A}{h}=b \\ b=\frac{2A}{h} \end{gathered}$

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:

$b=\frac{2(6)}{4}=\frac{12}{4}=3$

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