rahmansuzana70 rahmansuzana70
  • 25-12-2020
  • Mathematics
contestada

The length of a rectangle is 5.9 cm more than 3 times the width. If the perimeter of the rectangle is 57.4cm, what are it's dimensions.

Respuesta :

clarch19
clarch19 clarch19
  • 25-12-2020

Answer:

l = 23 cm and w = 5.7 cm

Step-by-step explanation:

Perimeter = twice the length plus twice the width

let w = width

let l = length

l = 5.9 + 3w

57.4 = 2(5.9 + 3w) + 2w

57.4 = 11.8 + 6w + 2w

57.4 = 11.8 + 8w

45.6 = 8w

w = 5.7

Substitute 5.7 for 'w' to get 'l':

l = 5.9 + 3(5.7)

l = 23

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