katiensmith0114 katiensmith0114
  • 21-04-2020
  • Mathematics
contestada

The length of the rectangle is 4 less than twice the width . The perimeter is 28 . Find the length and width .

Respuesta :

monetmona21
monetmona21 monetmona21
  • 21-04-2020

Answer:

Length=8 and width=6

Step-by-step explanation:

The length of the rectangle is 4 less than twice the width, let l stand for length and w for width: l=2w-4

The perimeter is equal to 28 and the formula for the perimeter of a rectangle is 2l+2w: 28=2l+2w

Substitute l into the equation:

28=2(2w-4)+2w

28=4w-8+2w

28=6w-8

36=6w

w=6

Find for l:

l=2w-4

l=2(6)-4

l=12-4

l=8

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