Question

A square has an area of 172 ftLaTeX: ^22 . What is the approximate length of each side of the square to the nearest tenth?

Answer 1

Answer:

13.1 feet

Step-by-step explanation:

Area of a square = Length * Length

A = L²

Given the area of a square to be 172ft², to get the approximate length of each side of the square, we will substitute the area given into the formula above and calculate the value of L as shown;

$A = L^2\\\\172 = L^2\\\\L^2 = 172$

take the square root of both sides;

$\sqrt{L^2} = \sqrt{172} \\\\L = \sqrt{172} \\\\L = 13.11 ft\\\\L \approx 13.1ft$

Hence the  approximate length of each side of the square to the nearest tenth is 13.1 feet