# Algebra

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The width of a rectangle is fixed at 19 cm. What lengths will make the perimeter greater than 82 cm. The length must be greater than ___ cm

• Algebra -

The perimeter of a rectangle is given by P = 2(L + W). We want P > 82cm with width fixed at 19cm.

2(L + 19) > 82

Solve for L.

• Algebra -

If W=19, and perimeter > 82, we end up with the inequality:
2(19+L) > 82
Solve for L to get the answer.

• Algebra -

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