Question

given a trapezoid jklm, what is kl?
25 m
\frac{4}{5}xy

Explanation:

Step1: Find the length of \(JM\)

Given \(XY = 25m\) and \(JM=\frac{4}{5}XY\).

$$JM=\frac{4}{5}\times25 = 20m$$

Step2: Use the mid - segment formula for trapezoid

The mid - segment formula for a trapezoid is \(XY=\frac{JM + KL}{2}\).
We know \(XY = 25m\) and \(JM = 20m\). Substitute into the formula:

$$25=\frac{20+KL}{2}$$

Multiply both sides by \(2\):

$$25\times2=20 + KL$$

$$50=20+KL$$

Subtract \(20\) from both sides:

$$KL=50 - 20$$

Answer:

\(KL = 30m\)