# A square has sides of length #s#. A rectangle is #6# inches shorter than the square and #1# inch longer. How do you write an expression to represent the perimeter of the rectangle?

The perimeter of a rectangle is

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The Perimeter of the rectangle in inches can be represented as

Problems like this can be confusing because it's hard to know how to write the math for all those measurements.

The trick is to do it one step at a time.

Perimeter is found by adding both widths plus both lengths

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To represent the perimeter of the rectangle, you would add up the lengths of all four sides. Since the rectangle is 6 inches shorter than the square and 1 inch longer, its length would be ( s - 6 ) inches and its width would be ( s + 1 ) inches.

The perimeter (( P )) of a rectangle is calculated by adding twice the length (( l )) and twice the width (( w )). Therefore, the expression to represent the perimeter of the rectangle would be:

[ P = 2(l + w) ]

Substituting the given values for the length and width of the rectangle, we have:

[ P = 2((s - 6) + (s + 1)) ]

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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