Question

The width of a rectangle measures (3.8b−1.5) centimeters, and its length measures (4.3b−7.2) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answer 1

To find the perimeter of a rectangle, you need to add the lengths of all its sides. In this case, the width is (3.8b - 1.5) centimeters, and the length is (4.3b - 7.2) centimeters.

The perimeter (P) is the sum of all sides, so you can represent it with the following expression:

P = 2(Width) + 2(Length)

P = 2(3.8b - 1.5) + 2(4.3b - 7.2)

Now, distribute and simplify:

P = 7.6b - 3 + 8.6b - 14.4

Combine like terms:

P = (7.6b + 8.6b) - (3 + 14.4)

P = 16.2b - 17.4

So, the expression that represents the perimeter, in centimeters, of the rectangle is 16.2b - 17.4 centimeters.