Answer:
17 inches
Step-by-step explanation:
Given
[tex]P = 51[/tex] --- Perimeter of rectangle
Required
The length of the original square
The perimeter is calculated as
[tex]51 = 2(L + W)[/tex]
Divide by 2
[tex]25.5 = L + W[/tex]
The rectangle and the square have the same length.
So:
[tex]L = 2W[/tex]
[tex]25.5 = L + W[/tex] becomes
[tex]25.5 = 2W + W[/tex]
[tex]25.5 = 3W[/tex]
Divide both sides by 3
[tex]W = 8.5[/tex]
Recall that:
[tex]L = 2W[/tex]
[tex]L = 2 * 8.5[/tex]
[tex]L = 17[/tex]
