Respuesta :

mlauren717
It’s 108t because if you combine like terms then multiple then you get 108t :)

we are given

length =l=7t+1

width =w=5t+8

now, we can use

perimeter of rectangle formula

[tex] perimeter=2(l+w) [/tex]

we can plug l and w

[tex] perimeter=2(7t+1+5t+8) [/tex]

now, we are given

perimeter=162

so, we can set it equal

[tex] 162=2(7t+1+5t+8) [/tex]

now, we can solve for t

[tex] 162=2(12t+9) [/tex]

we can isolate t on anyone side

[tex] 162=2*12t+2*9 [/tex]

[tex] 162=24t+18 [/tex]

[tex] 24t=144 [/tex]

[tex] t=6 [/tex]

so,

[tex] t=6ft [/tex]...............Answer

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