The perimeter of a shape is basically the length of its outline. The question gives the perimeter of a rectangle as 26 cm. solving for the equation to come to a relatively relatable expression we get width + length = 13 cm now we have to quarter the length and triple the width.
By simply substituting these values in their respective positions in the equation we get two equations. Then cancelling out the lengths we can get a simplified equation w = 12 cm. this simply gives the answer to the complex question which needed algebra rules to find the accurate answer.
Perimeter of rectangle = 26 cm => 2W + 2L = 26 => W + L = 13 For the square , 1/4 L = 3W => L = 12W But we have, W + L = 13 => W + 12W = 13 => 13W = 13 => W = 1 Perimeter of square = 4 x 3W = 12W = 12cm