Question

The consecutive sides of a quadrilateral have lengths (17 - x), (24 - x), (40 - 3x) and (x + 1). If the quadrilateral is a parrelleogram, whats is its permiter.

Please include work.

Answer 1

The perimeter is: $-5x+82$

Step-by-step explanation:

We have to add all the sides to find the perimeter.

Given sides are:

$Side\ 1: 17-x\\Side\ 2: 24-x\\Side\ 3: 4-3x\\Side\ 4: x+1$

Perimeter is the measurement of outer boundary of a closed geometrical figure.

Let P be the perimeter

Then

$P = Side\ 1 + Side\ 2+ Side\ 3+Side\ 4\\P = (17-x) + (24-x) + (40-3x) + (x+1)\\P = 17-x+24-x+40-3x+x+1$

Combining like terms

$P = -x-x-3x+x+17+24+40+1\\P = -6x+x+82\\P = -5x+82$

Hence,

The perimeter is: $-5x+82$

Keywords: Perimeter, Parallelogram

Learn more about perimeter at:

• brainly.com/question/3225044
• brainly.com/question/3227215

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