Question

What is the length of segment LE?

Answer 1

Answer:

$LE=2.5\ units$

Step-by-step explanation:

In this problem we assume that

Segment PL, Segment AE and Segment RT are parallels

so

using proportion

$\frac{PA}{PR}=\frac{LE}{LT}$

we have

$PA=7\ units\\ PR=21\ units\\ ET=5\ units$

Remember that

$LT=LE+ET=LE+5$

substitute the values and solve for LE

$\frac{7}{21}=\frac{LE}{LE+5}$

Multiply in cross

$7(LE+5)=21(LE)$

$7LE+35=21LE$

$21LE-7LE=35$

$14LE=35$

$LE=2.5\ units$