Answer:
14cm
Step-by-step explanation:
Given a length of the diagonal of a square modeled by the equation
d = 1.4x^1/2 where x is the area of the square, to find the estimate of the length of the square if area is 100cm², we will substitute x = 100 into the modeled equation to get s as shown;
[tex]d = 1.4 x^{1/2}\\\\d = 1.4 (100)^{1/2}\\\\d = 1.4\sqrt{100}\\\\d = 1.4 * 10\\\\d = \frac{14}{10} * 10\\ \\d = 14[/tex]
Hence the length of the diagonal of the square using the modeled equation is 14cm
