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

13.1 feet

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;

`√(L^2) = √(172) \\\\L = √(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