Question

The perimeter of a rectangular garage

is 46 meters. The garage is 10 meters
wide. How long is it?
meters

Answer 1

The rectangular garage is 13m long.

Explanation:

`\sf\large{\star Given:-}`

• Perimeter of rectangular garage =
  `\sf\pink{46 \:m.}`
• Width of the rectangular garage =
  `\sf\pink{10\:m.}`

`\sf\large{\star To\: find:-}`

• How long is the garage (length of garage).

`\sf\large{\star Solution:-}`

`\rightarrow`As we know that,

Perimeter of rectangle =
`\sf\blue{2(length+width)}`

So, by putting the value of perimeter and width in this formula we get,

`\rightarrow`
`\sf{2(l+10)\:=\: 46}`

`\rightarrow`
`\sf{2l+20\:=\: 46}`

`\rightarrow`
`\sf{2l\:=\: 46-20}`

`\rightarrow`
`\sf{2l\:=\: 26}`

`\rightarrow`
`\sf{l \:=\: (26)/(2)}`

`\rightarrow`
`\sf{l\:=\: 13m.}`

Therefore, length of the rectangular garage =
`\sf\purple{=\: 13m.}`

_______________________________

Hope it helps you:)

Answer 2

Divide area by width:

46/10 = 4.6 meters

Answer: 4.6 meters