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The width of a rectangle measures (7d+8f)(7d+8f) centimeters, and its length measures (2d-3f) (2d−3f) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
A 18d+10f
B 8-6f+18d
C 5+9d
D 10+18d

Respuesta :

The expression that represents the perimeter, in centimeters, of the rectangle is 18d + 10f

Option A is correct

Perimeter of a rectangle

Let the width of the rectangle be represented by w

w  =  (7d+8f) cm

Let the length of the rectangle be represented by l

l = (2d-3f) cm

The perimeter of a rectangle is given by the formula:

P  =  2(l  +  w)

P  =  2[(7d + 8f) + (2d - 3f)]

P  = 2[7d  +  2d  +  8f  -  3f]

P  = 2[9d  +  5f]

P  =  18d  +  10f

Therefore, the expression that represents the perimeter, in centimeters, of the rectangle is 18d + 10f

Learn more on perimeter of a rectangle here: https://brainly.com/question/19819849

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