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Thalia13go
Answered

the length of a rectangular picture frame is 5cm more than its width. Its perimeter is 50cm. Find the dimensions of the frame.

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AGboiigo

[tex] \large\underline \bold{{SOLUTION}}[/tex]

[tex]\textrm{\underline{Given}}[/tex]

  • [tex]\rm{L = W+5}[/tex]
  • [tex]\rm{W = W }[/tex]
  • [tex]\rm{50 = 2(L+W)}[/tex]

[tex]\textrm{\underline{Solving the System of Linear Equation}}[/tex][tex]\textrm{•By Substitution}[/tex]

[tex]\longmapsto\rm{50 = 2(L+W)}[/tex]

[tex]\longmapsto\rm{50 = 2(W+5+W)}[/tex]

[tex]\longmapsto\rm{50 = 2(2W+5)}[/tex]

[tex]\longmapsto\rm{50 = 4W+10}[/tex]

[tex]\longmapsto\rm{50-10 = 4W}[/tex]

[tex]\longmapsto\rm{40 = 4W}[/tex]

[tex]\longmapsto\boxed{\rm{10 = W}}[/tex]

[tex]\textrm{\underline{Substitute again to get the Length}}[/tex]

[tex]\implies\sf{L=W+5}[/tex]

[tex]\implies\sf{L=10+5}[/tex]

[tex]\implies\boxed{\sf{L=15}}[/tex]

[tex] \large\underline{ \bold{ANSWER}}[/tex]

  • [tex]\textrm{The dimensions are 10cm and 15cm}[/tex]

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