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

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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