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An architect designs a diagonal path across a rectangular patio. The path is 29 meters long. The width of the patio is x meters, and the length of the path is 5 meters more than the width.


Which equation can be used to find the dimensions of the playground?

0.5(x)(x + 5) = 29
0.5(x)(x + 5) = 841
x2 + (x + 5)2 = 29
x2 + (x + 5)2 = 841

An architect designs a diagonal path across a rectangular patio The path is 29 meters long The width of the patio is x meters and the length of the path is 5 me class=

Respuesta :

The answer for this question is D 
frika

The diagonal of rectangular patio together with two adjacent sides of patio form right triangle.

Then by the Pythagorean theorem,

[tex]\text{Diagonal}^2=\text{(Side 1)}^2+\text{(Side 2)}^2.[/tex]

Since

  • [tex]\text{Side 1}=x\ m;[/tex]
  • [tex]\text{Side 2}=(x+5)\ m;[/tex]
  • [tex]\text{Diagonal}=29\ m,[/tex]

then

[tex]29^2=x^2+(x+5)^2,\\ \\x^2+(x+5)^2=841.[/tex]

Answer: correct choice is D


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