HunnerR307441 HunnerR307441
  • 25-10-2022
  • Mathematics
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Can someone help me with this please? If the painting is 18 inches high, how wide would it be?

Can someone help me with this please If the painting is 18 inches high how wide would it be class=

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AmearG52812 AmearG52812
  • 25-10-2022

The ratio of width to height is :

[tex]\frac{w}{h}=\frac{1+\sqrt[]{5}}{2}[/tex]

If h = 18 inches, the value of w will be :

[tex]\begin{gathered} \frac{w}{18}=\frac{1+\sqrt[]{5}}{2} \\ \text{Cross multiply :} \\ 2w=18(1+\sqrt[]{5}) \\ w=\frac{18(1+\sqrt[]{5})}{2} \\ w=9(1+\sqrt[]{5}) \\ w=9+9\sqrt[]{5}\quad or\quad 29.12 \end{gathered}[/tex]

The answer is w = 29.12 inches

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