Question

1. the rectangle in the diagram provided has a perimeter of ( 7y + 65 ) centimeters.

which of the following equations represents the perimeter in terms of ( y )?
( 7y + 65 = 8y + 21 ) ( 7y + 65 = 6y + 10 ) ( 7y + 65 = 6y + 14 ) ( 7y + 65 = 12y + 20 )

Explanation:

Step1: Recall the formula for the perimeter of a rectangle

The formula for the perimeter \(P\) of a rectangle is \(P = 2(l + w)\), where \(l\) is the length and \(w\) is the width. Here, \(l=4y + 7\) and \(w = 2y+3\).

Step2: Substitute the length and width into the perimeter formula

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Since \(P = 7y + 65\), we get the equation \(7y+65=12y + 20\).

Answer:

D. \(7y + 65=12y + 20\)