Question

what is the missing length? area = 4000 m² p = meters submit

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, the base is \(100\) m, the height is \(p\), and the area \(A = 4000\space m^{2}\).

Step2: Substitute the known values into the formula

Substitute \(A = 4000\), base \(b=100\) into \(A=\frac{1}{2}\times b\times p\). We get \(4000=\frac{1}{2}\times100\times p\).

Step3: Solve for \(p\)

First, simplify the right - hand side of the equation: \(\frac{1}{2}\times100\times p = 50p\). Then, solve the equation \(4000 = 50p\) for \(p\). Divide both sides by \(50\): \(p=\frac{4000}{50}\).

Answer:

\(80\)