tealandblackdress201 tealandblackdress201
  • 19-10-2020
  • Mathematics
contestada

If S = 2(lw + lh + wh) and l = 5w, rewrite the equation for S, substituting in 5w for l.

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 19-10-2020

Answer:

S = 2w( 5w + 6h)

Step-by-step explanation:

given:

S = 2(lw + lh + wh)

if l = 5w, then we simply substitute this into the expression above.

S = 2[   lw   +   lh   +   wh  ]

S = 2[   (5w)w   +   (5w)h   +   wh  ]

S = 2[   5w²   +   5wh  +   wh  ]      

S = 2( 5w²   +   6wh)         simplify by factoring out w

S = 2w( 5w + 6h)

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