Question

Find the length of a rectangle with a perimeter of 148 inches and width of 36 inches.
inches

Answer 1

Given:

• Perimeter of the rectangle = 148 inches
• Width of the Rectangle = 36 Inches

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To Find :

• Length of the Rectangle

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Solution:

• Let's assume the length of the rectangle as x inches

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We know that,

`\qquad{ \bold{ \pmb{2(Length + Width) = Perimeter}}}`

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Now, Substituting the given values in the formula :

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`\qquad \dashrightarrow \sf 2(x + 36) = 148`

`\qquad \dashrightarrow \sf 2x + 72 = 148`

`\qquad \dashrightarrow \sf 2x = 148 - 72`

`\qquad \dashrightarrow \sf 2x = 76`

`\qquad \dashrightarrow \sf x = (76)/(2)`

`\qquad \dashrightarrow { \bf{\pmb{ x = 38}}}`

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Hence, the length of the rectangle is 38 inches.

Answer 2

Given:

• Perimeter of rectangle = 148 inches
• Width of Rectangle = 36 Inches

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Need to Find?

• Length of Rectangle

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Solution:

Let Length (L) of Rectangle be x cm

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Using formula:

• 
  `\underline{ \boxed { \textbf{ \textsf{Perimeter \: of \: Rectangle = 2 (L + B)}}}} \pink \bigstar`

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Putting values in the formula:

`\longrightarrow \sf 148 = 2 (x + 36)`

`\longrightarrow \sf 148 = 2x + 72`

`\longrightarrow \sf 148 - 72 = 2x`

`\longrightarrow \sf 76 = 2x`

`\longrightarrow \sf x = 76/2`

`\longrightarrow \sf x = 38`

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`\therefore` Length of Rectangle is 38 inches.