Question

what is the missing length? 12 m area of shaded region = 108 m². u = meters

Explanation:

Step1: Recall triangle area formula

The area formula for a triangle is $A=\frac{1}{2}bh$, where $A$ is the area, $b$ is the base and $h$ is the height.

Step2: Identify values

Here, $A = 108$ m² and $h=12$ m, and the base is $u$.

Step3: Substitute values into formula

We have $108=\frac{1}{2}\times u\times12$.

Step4: Solve for $u$

First, simplify the right - hand side: $\frac{1}{2}\times12 = 6$, so the equation becomes $108 = 6u$. Then divide both sides by 6: $u=\frac{108}{6}=18$.

Answer:

18