Question

The width of a rectangle measures (3.4p-8.4q)(3.4p−8.4q) centimeters, and its length measures (3.2p+7.5q)(3.2p+7.5q) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answer 1

The expression for the perimeter of the rectangle in centimeters is (13.2p -1.8q)

Explanation:

The correct question is as follows;

The width of a rectangle measures (3.4p-8.4q)centimeters, and its length measures (3.2p+7.5q) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

The solution to the question is as follows;

Mathematically, since the shape is a rectangle, the formula for the perimeter of the rectangle will be;

P = 2(l + b)

From the question;

l = (3.2p + 7.5q)

while b is the width = (3.4p -8.4q)

Thus the expression for the perimeter will be;

P = 2(3.2p + 7.5q + 3.4p - 8.4q)

Collect like terms;

P = 2(3.2p + 3.4p + 7.5q -8.4q)

P = 2(6.6p -0.9q)

P = 13.2p - 1.8q