blossomisinbloom blossomisinbloom
  • 21-08-2022
  • Mathematics
contestada

A rectangle’s perimeter is 28 meters and its area is 46 square meters. How long is its
longest side, in meters?

Respuesta :

jaisurajk jaisurajk
  • 21-08-2022

Answer:

Step-by-step explanation:

lets say l=length and w=width and P=28 and A=46

28=2l+2w

46=l*w

w=46/

28=2(46/w)+2w

28=92/w+2w

28w=92+2w^2

0=2w^2-28w+92

0=w^2-14w+46

0=w^2-14w+49-3

0=(w-7)^2-3

3=(w-7)^2

w-7=[tex]\sqrt[]{3}[/tex]

w=7+[tex]\sqrt[]{3}[/tex]

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