The square shown is divided into 4 congruent rectangles. If the perimeter of each rectangle is 144 units, what is the perimeter of the square?
+592 perimeter = 2l + 2w
144 = 2l + 2w
72 = l + w
but we know that l = 4w, since 4 widths make up one side of the square, and the length does too
72 = 4w + w
72 = 5w
w = 14.4
72 = l + w
72 = l + 14.4
l = 57.6
perimeter of square
= 4l
= 4(57.6)
= 230.4 units
+36916 8 w + 8 h = 144 (4)
w = 4h
(8) 4 h + 8 h = 144(4)
h = 14.4
square perimeter = 16h = 230.4 units ) Just as Logarhythm found !)
