Question

The width of a rectangle measures left bracket, 5, v, minus, 2, w, right bracket(5v−2w) centimeters, and its length measures left bracket, 6, v, plus, 7, w, right bracket(6v+7w) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? Answer Multiple Choice Answers 10, w, plus, 22, v10w+22v 22, v, plus, 1022v+10 minus, 2, plus, 14, w, plus, 22, v−2+14w+22v 11, v, plus, 511v+5

Answer 1

To find the perimeter of a rectangle, we need to add up the lengths of all its sides. In this case, the rectangle has a width of (5v-2w) centimeters and a length of (6v+7w) centimeters.

To find the perimeter, we need to add the width and length, and then multiply by 2 because the rectangle has two pairs of sides of equal length.

So, the expression representing the perimeter of the rectangle would be:

2 * [(5v-2w) + (6v+7w)]

Simplifying the expression:

2 * (5v-2w + 6v+7w)

Combining like terms:

2 * (11v + 5w)

This gives us the perimeter of the rectangle as 22v + 10w centimeters.

Therefore, the correct answer is: