s4v4g39
contestada

The Golden Ratio appears in the design of the Greek Parthenon because the width and height of the façade are related by the equation [tex]\frac{W+H}{W} = \frac{W}{H}[/tex]. If the height of a model of the Parthenon is 16 inches, what is its width? Round your answer to the nearest tenth.

Respuesta :

mhanifa

Answer:

25.9 in

Step-by-step explanation:

Width and height relation equation:

  • (W+H)/W= W/H

And also given,

  • H=16 in

We need to find the value of W

---------

Plug in the value of H, the equation becomes:

  • (W+16)/W=W/16

Cross- multiplication:

  • 16(W+16)=W²
  • W² - 16W - 256=0

Solving the quadratic equation:

  • W= (-b±√b²-4ac)/2a
  • W= (16±√1280)/2
  • W= −9.889  this root is discarded as negative value
  • W= 25.889 ≈ 25.9 in rounded to nearest tenth

Answer is  25.9 in

Otras preguntas