Question

the quadrilaterals abcd and jklm are similar. find the length x of kl.

Explanation:

Step1: Set up proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. We can set up the proportion $\frac{AB}{JK}=\frac{BC}{KL}$. Substituting the known values, we have $\frac{2}{2.4}=\frac{4}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $2x = 2.4\times4$.

Step3: Solve for x

First, calculate $2.4\times4 = 9.6$. Then, $x=\frac{9.6}{2}$.

Step4: Calculate the value of x

$x = 4.8$.

Answer:

$4.8$