Two identical rectangles and​ squares, R and​ T, are arranged to form a larger square as shown. The area of square R is 1 square​ inch, and the perimeter of each rectangle is 7 inches. What is the perimeter of square​ T? Explain.




R




T




Because the area of square R is 1 square​ inch, its side length is




nothing ​inch(es). So, the shorter side of each rectangle is




nothing ​inch(es). If x represents the length of the longer side of each​ rectangle, the perimeter is









4 x equals 7




2 x plus 2 left parenthesis 1 right parenthesis equals 7




2 x left parenthesis 1 right parenthesis equals 7




x squared plus left parenthesis 1 right parenthesis squared equals 7 squared




and x




nothing. The perimete