QuestionFind the perimeter of a rectangle with width $(5 v-2 w)$ cm and length $(6 v+7 w)$ cm.

Studdy Solution

STEP 1

Assumptions1. The width of the rectangle is given by the expression $(5v -w)$ centimeters. The length of the rectangle is given by the expression $(6v +7w)$ centimeters3. The perimeter of a rectangle is given by the formula $*(length + width)$

STEP 2

We need to find the perimeter of the rectangle. We can do this by substituting the given expressions for the length and width into the formula for the perimeter of a rectangle.
$Perimeter =2*(Length + Width)$

STEP 3

Now, plug in the given expressions for the length and width into the formula.
$Perimeter =2*((6v +7w) + (5v -2w))$

STEP 4

implify the expression inside the parentheses.
$Perimeter =2*(11v +w)$

STEP 5

istribute the2 across the terms inside the parentheses to calculate the perimeter.
$Perimeter =211v +25w$

STEP 6

implify the expression to get the final answer.
$Perimeter =22v +10w$ So, the expression that represents the perimeter, in centimeters, of the rectangle is $22v +10w$ .

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