Question

a walkway along the diagonal of a square park is 4/5 miles long. what is the area of the park?

Answer 1

Answer:

$\frac{8}{25}$  square miles

Step-by-step explanation:

The relationship between the side length (let it be s) of a square and its diagonal (let it be d) is given by:

$s=\frac{d}{\sqrt{2} }$

Since d is given as 4/5, we solve for s:

$s=\frac{d}{\sqrt{2} }\\s=\frac{\frac{4}{5}}{\sqrt{2} }\\s=\frac{4}{5\sqrt{2} }$

NOW, area of square is s^2 where s is the side length.

Area = $s^2=(\frac{4}{5\sqrt{2} })^2=\frac{16}{50}=\frac{8}{25}$