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Elmirasafirego
Answered

The perimeter of a rectangular garden is 10 square meters and its length is 3
meters longer than its width. What is the length of the rectangular garden?​

Sagot :

AGboiigo

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

[tex]\underline{\sf{GIVEN}}[/tex]

  • [tex]\sf{10= 2(L+W)}[/tex]
  • [tex]\sf{L = x+3}[/tex]
  • [tex]\sf{W = x}[/tex]

»Equating the givens and solve by substitution

[tex]\longmapsto\textsf{10=2(L+W)}[/tex]

[tex]\longmapsto\textsf{10=2(x+3+x)}[/tex]

[tex]\longmapsto\textsf{10=2(2x+3)}[/tex]

[tex]\longmapsto\textsf{10=4x+6}[/tex]

[tex]\longmapsto\textsf{10-6=4x}[/tex]

[tex]\longmapsto\textsf{4=4x}[/tex]

[tex]\longmapsto\boxed{\textsf{1=x}}[/tex]

»Again, We will substitute again to get the dimensions.

[tex]\implies\rm{Length = x+3 = 1+3 = \boxed{\sf{4meters}}}[/tex]

[tex]\implies\rm{Width = x = \boxed{\sf{1meter}}}[/tex]

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

  • [tex]\text{The Length is 4 meters}[/tex]

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