Question

Given a square with area x, you can use the formula d = 1.4x 1 2 to estimate the length of the diagonal of the square. Use the formula to estimate the length of the diagonal of a square with area 100 cm2 . Show your work!!!

Answer 1

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;

$d = 1.4 x^{1/2}\\\\d = 1.4 (100)^{1/2}\\\\d = 1.4\sqrt{100}\\\\d = 1.4 * 10\\\\d = \frac{14}{10} * 10\\ \\d = 14$

Hence the length of the diagonal of the square using the modeled equation is 14cm