Question

The width of a rectangle measures (10p - 9q) centimeters, and its length measures
(7p+8q) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?

Answer 1

The expression represents the perimeter, in centimeters, of the rectangle is P = 30q + 2p

Perimeter of a rectangle

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2(l+w)

l = (7p+8q) cm

w =  (10p - 9q) cm

Substitute

P = 2(7p+8q+10p-9q)

P = 2(15q+p)

P = 30q + 2p

Hence the expression represents the perimeter, in centimeters, of the rectangle is P = 30q + 2p

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