SOLUTION: The perimeter of a rectangle is 26cm. The rectangle is converted to a square by tripling the width and taking a quater of the length. What is the perimeter of the resulting square?

Algebra ->  Rectangles -> SOLUTION: The perimeter of a rectangle is 26cm. The rectangle is converted to a square by tripling the width and taking a quater of the length. What is the perimeter of the resulting square?      Log On


   



Question 936425: The perimeter of a rectangle is 26cm. The rectangle is converted to a square by tripling the width and taking a quater of the length. What is the perimeter of the resulting square?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2%28L%2BW%29=26
L%2BW=13
.
.
.
3W=L%2F4
W=L%2F12
Substituting into the perimeter equation.
L%2BL%2F12=13
%2812%2F12%29L%2BL%2F12=13
%2813%2F12%29L=13
L=12
12%2BW=13
W=1
So originally the rectangle was 12x1.
To get the square side, triple the width.
S=3%281%29=3
So the perimeter of the square is,
P%5Bs%5D=4%283%29
P%5Bs%5D=12cm