SOLUTION: The width of a rectangle is fixed at 27cm. What lengths will make the perimeter greater than 78cm?

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Question 467437: The width of a rectangle is fixed at 27cm. What lengths will make the perimeter greater than 78cm?
Answer by algebrahouse.com(1659)   (Show Source): 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

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