Answer:
x = 2
UV = 9 ft
VW = 6 ft
WU = 5 ft
Step-by-step explanation:
The perimeter of a figure can be represented as the sum of lengths of all of its sides. In this case we can write:
P = UV + VW + WU
Now, we can substitute the values which we have:
20 = 4x + 1 + 8 - x + 2x + 1
We can combine like terms...
20 = 5x + 10
5x = 10
x = 2
Since UV is represented by 4x + 1, we can substitute in x to find its length.
UV = 4x + 1
UV = 4(2) + 1
UV = 6 + 1
UV = 9
We can do the same for the other two sides:
VW = 8 - x
VW = 8 - 2
VW = 6
WU = 2x + 1
WU = 2(2) + 1
WU = 4 + 1
WU = 5
