Question

A rectangle is a perimeter of 78 feet what is the length and width

Answer 1

Perimeter

A rectangle is a perimeter of 78 feet what is the length and width

• Let width of a rectangle = w meters
• Length = 2w meters

Perimeter of a rectangle = 2( length + width )

`\tt 78 = 2(2w+w) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\\ \tt 78 =6w \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \\ \tt width = 78/6 = \green{13 \: meters}\\ \tt length= 2w= \green{26 \: meters}`

To Check

Perimeter of a rectangle
`\tt P = 2(l + w)`

• 
  `\tt P = 2(l + w)`
• 
  `\tt P = 2(23m + 13m)`
• 
  `\tt P = 2(39m)`
• 
  `\tt P = \green{78m}`

Therefore, the length is 23m and the width is 13m

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