Question

the pentagons jkl mn and pqrst are similar. find the length x of qr.

Explanation:

Step1: Set up proportion

Since the pentagons are similar, the ratios of corresponding sides are equal. We can set up the proportion $\frac{JK}{PQ}=\frac{KL}{QR}$. Here, $JK = 1$, $PQ=1.4$, $KL = 2$, and $QR=x$. So the proportion is $\frac{1}{1.4}=\frac{2}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $1\times x=1.4\times2$.

Step3: Solve for x

$x = 2.8$.

Answer:

$2.8$