Question

ВС

2. In ATVW if VW is three meters longer than TV, TW
is 19 meters shorter than the sum of VW and TV,
and the perimeter of ATVW is 62 meters, find the length of VW.
20.75 m
15.75 m
25.5 m
21.75 m
None of the above

Answer 1

9514 1404 393

Answer:

21.75 m

Explanation:

The given relations tell us that ...

VW = TV +3

TW = VW +TV -19

VW +TW +TV = 62

__

Solving the first equation for TW gives ...

TV = VW -3

Substituting that into the second equation gives ...

TW = 2VW -22

And using these expressions in the third equation, we have ...

VW +(2VW -22) +(VW -3) = 62

4VW = 87 . . . . . . . . collect terms

VW = 21.75 . . . . . . divide by 4

The length of VW is 21.75 meters.