You can put this solution on YOUR website! "The width of a rectangle is fixed at 27cm. What lengths will make the perimeter greater than 78cm?"
Perimeter of a rectangle = 2(width) + 2(length)
width = 27 {given}
length = x
2(27) + 2(x) > 78 {finding what value of x will make the perimeter greater than 78}
54 + 2x > 78 {multiplied 2 by 27}
2x > 22 {subtracted 54 from both sides}
x > 11
a length greater than 11 cm will make the perimeter greater than 78 cm