The length of a rectangle is 3 feet longer than its width.
If the perimeter of the rectangle is 54 feet, find its length and width.

Respuesta :

Answer:

Length = 15ft

Width = 12ft

Step-by-step explanation:

First, re-read the problem until you acknowledge it and can put it into your own words.  

This is what I did:

 Find the area of a rectangle by first finding the length  and the width.  Note that:

L = Length  

W = Width

Find L and W

We will need formula:

P=2L+2W

A=LW

The length of a rectangle is 3 ft longer than its width :

L                             =    3             +         W                 Equation [1]

 "the perimeter of the rectangle is 30 ft"     means

            P                                = 54                           Equation [2]

     P = 54 = 2L + 2W                        

          54 = 2(3+W)  +  2W              

          54 = 6 + 2W   + 2W              

           54 = 6 + 4W                    

           48 + 4w

          12 ft = w

L = 3 + W        

          L = 3 + 12

         L = 15 ft

Area if needed

A = L*W

          A = (12 ft)*(15 ft)

          A = 180 sq ft

Kavinsky

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