LayaniS467004 LayaniS467004
  • 26-10-2022
  • Mathematics
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The perimeter of a rectangular painting is 372 centimeters if the width of the painting is 88 centimeters what is its length?

The perimeter of a rectangular painting is 372 centimeters if the width of the painting is 88 centimeters what is its length class=

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DelayahE203480 DelayahE203480
  • 26-10-2022

The rectangle has opposite sides of equal lengths. So, a rectangle with width "w" and length "l has a paerimeter of:

[tex]p=w+w+l+l=2w+2l[/tex]

In this case, p = 372 cm and w = 88 cm, so we input these ans solve for l:

[tex]\begin{gathered} 372=2\cdot88+2l \\ 2l=372-176=196 \\ l=\frac{196}{2}=98 \end{gathered}[/tex]

So, the length of the painting is 98 cm.

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