Question

If the relationship of the sides shown in the triangular walkway can be represented by the equation 5 x squared minus 2025 equals 0., how many feet does a person walk on the portion of the walkway labeled x? Round your answer to the nearest tenth of a foot.

Answer 1

Answer:

$20.1\ \text{feet}$

Step-by-step explanation:

The given relation is

$5x^2-2025=0$

where $x$ is the portion of walkway in which the person walks

Rearranging the equation we get

$5x^2=2025\\\Rightarrow x^2=\dfrac{2025}{5}\\\Rightarrow x^2=405\\\Rightarrow x=\sqrt{405}\\\Rightarrow x=20.124\approx 20.1\ \text{feet}$

The length of the portion of the walkway labeled $x$ is $20.1\ \text{feet}$.