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Manny wants to proportionally enlarge a rectangular window that has a length of 36 inches and a width of 24.5 inches.

If Manny enlarges the length of the window to 54 inches, what should be the width of the window?


79.0 inches


36.75 inches


42.5 inches


24.5 inches

Respuesta :

Ashraf82

The new width of the window should be 36.75 inches ⇒ 2nd answer

Step-by-step explanation:

The proportionally is two quantities having a constant ratio

The quantities y and x are proportional if:

  • [tex]\frac{y}{x}[/tex] = k, where k is the constant of proportionality
  • y = k x
  • [tex]\frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}[/tex]

∵ Manny wants to proportionally enlarge a rectangular window

- That means the new dimensions are proportion with the

  original dimensions

∴ New dimensions = k × original dimensions

- k is the constant of proportionally

∵ The original length = 36 inches

∵ The new length = 54 inches

- Substitute then in the equation above to find k

∵ 54 = k × 36

- divide both sides by 36

∴ 1.5 = k

∴ The new dimensions = 1.5 × original dimensions

∵ the original width = 24.5 inches

∴ The new width = 1.5 × 24.5 = 36.75 inches

The new width of the window should be 36.75 inches

Learn more:

You can learn more about the dilation in brainly.com/question/2480897

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