Question

what is the missing length?
area = 168.3 yd²
v = yards

Explanation:

Step1: Write the formula for the area of a triangle

The area formula for a triangle is \( A=\frac{1}{2}\times base\times height\). Here, \(A = 168.3\) \(yd^{2}\), base \(b=18.7\) \(yd\), and height \(h = v\).

Step2: Rearrange the formula to solve for \(v\)

From \(A=\frac{1}{2}\times b\times v\), we can get \(v=\frac{2A}{b}\).

Step3: Substitute the values of \(A\) and \(b\) into the formula

Substitute \(A = 168.3\) and \(b = 18.7\) into \(v=\frac{2A}{b}\), so \(v=\frac{2\times168.3}{18.7}\).
First, calculate \(2\times168.3=336.6\). Then, \(v=\frac{336.6}{18.7}=18\).

Answer:

\(18\)