Answer:
The rectangular garage is 13m long.
Step-by-step explanation:
[tex]\sf\large{\star Given:-}[/tex]
- Perimeter of rectangular garage = [tex]\sf\pink{46 \:m.}[/tex]
- Width of the rectangular garage = [tex]\sf\pink{10\:m.}[/tex]
[tex]\sf\large{\star To\: find:-}[/tex]
- How long is the garage (length of garage).
[tex]\sf\large{\star Solution:-}[/tex]
[tex]\rightarrow[/tex]As we know that,
Perimeter of rectangle = [tex]\sf\blue{2(length+width)}[/tex]
So, by putting the value of perimeter and width in this formula we get,
[tex]\rightarrow[/tex] [tex]\sf{2(l+10)\:=\: 46}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{2l+20\:=\: 46}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 46-20}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 26}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{l \:=\: \frac{26}{2}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{l\:=\: 13m.}[/tex]
Therefore, length of the rectangular garage = [tex]\sf\purple{=\: 13m.}[/tex]
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Hope it helps you:)
