# The perimeter of a rectangular carpet is 54ft. The lenght is 3ft greater than the width. How do you find the length and width?

Length is 15 feet; Width is 12 feet

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Let's denote the width of the rectangular carpet as ( w ) (in feet). Since the length is 3 feet greater than the width, we can express the length as ( w + 3 ).

The perimeter of a rectangle is given by the formula: ( P = 2(w + l) ), where ( P ) is the perimeter, ( w ) is the width, and ( l ) is the length.

Given that the perimeter is 54 feet, we can write the equation:

[ 54 = 2(w + w + 3) ]

Solving for ( w ):

[ 54 = 2(2w + 3) ] [ 54 = 4w + 6 ] [ 4w = 54 - 6 ] [ 4w = 48 ] [ w = \frac{48}{4} ] [ w = 12 ]

So, the width of the rectangular carpet is 12 feet.

Now, to find the length, we can use the expression for the length:

[ l = w + 3 ] [ l = 12 + 3 ] [ l = 15 ]

Therefore, the length of the rectangular carpet is 15 feet.

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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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