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?

Guest Apr 19, 2021

#1**+1 **

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

Logarhythm Apr 19, 2021

#2**+1 **

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 !)

ElectricPavlov Apr 19, 2021