Question

Find the length of the missing side, given the information below.
PLEASE HELP I NEED THIS

Answer 1

x = 2

UV = 9 ft

VW = 6 ft

WU = 5 ft

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