Find the perimeter of a square with an area of 361 square feet

Answer 1

To find the area of a square, you need to multiply base by height. Because all sides of a square are equal length, the base = height, so you can find the area by squaring one side (s).

361= s X s

361= s²

√361 = s

19= s

So now we know that one side of the square is equal to 19 ft. But this is not our final answer because the question is asking for the perimeter, which is equal to the sum of all 4 sides of the square.

perimeter = 4(s)

perimeter = 4(19)

perimeter = 76

The perimeter of the square is 76ft.

Answer 2

The area of a square is x^2 = 361, and so the perimeter is 4*x. So, the question is how do we find the square root of 361?

Well, from divisibility rules, we know immediately that 361 is not divisible by any multiple of 2,3, or 5. We know that x must be less than 20 because 20^2 = 400. Also, x must be greater than 12, since we know that 12^2 = 144. So, just check 13,17, and 19. We see that 19^2 = 361.

So, x = 19 and the perimeter is 4*19 = 76.