Question

what is the missing length? area = 20 km² y = kilometers

Explanation:

Step1: Recall the area formula for a triangle

The area formula for a triangle is \( A=\frac{1}{2}\times base\times height\). Here, \(A = 20\space km^{2}\), base \(b = 8\space km\), and height \(h=y\).

Step2: Substitute the values into the formula and solve for \(y\)

Substitute \(A = 20\), \(b = 8\) into \(A=\frac{1}{2}\times b\times y\). We get \(20=\frac{1}{2}\times8\times y\). First, simplify \(\frac{1}{2}\times8 = 4\). So the equation becomes \(20 = 4y\). Then divide both sides by 4: \(y=\frac{20}{4}\).

Answer:

\(5\)