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The width of a rectangle is 2 inches less than its length. If the perimeter of the rectangle is 96 inches, what is its width?

The width of a rectangle is 2 inches less than its length If the perimeter of the rectangle is 96 inches what is its width class=

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devishri1977

Answer:

Step-by-step explanation:

a) Perimeter of a rectangle = 2 *(L +w)

b) w = L - 2  

Answer: B

c)  Perimeter =  96 inches

2* (l +w)  = 96

2*( L + L - 2 ) = 96               {Combine like terms}

2 * (2L - 2) = 96          {use distributive law}

 2*2L - 2*2 = 96

       4L - 4 = 96     {Add 4 to both sides}

             4L = 96 +4

            4L = 100      {divide both sides by 4}

        4L/4  = 100/4

L =  25 inches

d) w = L - 2

        = 25 - 2

w = 23 inches