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The width of a rectangle measures (3
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?
Expert Solution
Answer:
The expression for the perimeter of the rectangle in centimeters is (13.2p -1.8q)
Step-by-step 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
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