Question

what is the missing length?
area = 4900 m²
a = meters

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 \(98\) m, the height is \(a\), and \(A = 4900\space m^{2}\).

Step2: Substitute the known values into the formula

Substitute \(A = 4900\), base \(b=98\) into \(A=\frac{1}{2}\times b\times a\). We get \(4900=\frac{1}{2}\times98\times a\).

Step3: Solve for \(a\)

First, simplify \(\frac{1}{2}\times98 = 49\). Then the equation becomes \(4900 = 49\times a\). Divide both sides by \(49\): \(a=\frac{4900}{49}\).

Answer:

\(100\)