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

14cm

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√(100)\\\\d = 1.4 * 10\\\\d = (14)/(10) * 10\\ \\d = 14`

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