Question

Please answer ASAP!!!
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A rectangle has a perimeter equal to 24. If we consider its width x, how could we talk about its length y in terms of x? What are possible values of x? What are possible values of y?

Answer 1

Review the formula for the perimeter of a rectangle:

P = 2W + 2L. Here the Perimeter is 24: 2W + 2L = 24 (where x=W=width).

Certainly we could talk about y in terms of x:

Starting with 2W + 2L = 24, subtract 2W from both sides (recalling that W=x)

2L = 24 - 2x

Reduce this by dividing all 3 terms by 2: L = 12 - x, or y = 12 - x

Note that y cannot be negative, nor can x be negative. Thus, the greatest value y can have is 12, when x = 0. Actually, x cannot be zero, or we'd have a straight line, not a rectangle.