Question

What is the length of segment LE?

Answer 1

`LE=2.5\ units`

Explanation:

In this problem we assume that

Segment PL, Segment AE and Segment RT are parallels

so

using proportion

`(PA)/(PR)=(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

`(7)/(21)=(LE)/(LE+5)`

Multiply in cross

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

`7LE+35=21LE`

`21LE-7LE=35`

`14LE=35`

`LE=2.5\ units`