Calculate Side Length from Square Area: Finding x When Area = 49 cm²

Question

The area of a square 49 cm².

Calculate the side length of the square.

494949xxxxxx

Video Solution

Solution Steps

00:00 Find the side of square X
00:03 We'll use the formula for calculating square area
00:07 side times side
00:12 We'll substitute appropriate values and solve for X
00:15 We'll take the square root
00:26 And this is the solution to the problem

Step-by-Step Solution

To find the side length of a square when the area is given, follow these steps:

  • Step 1: We are given the area A=49cm2 A = 49 \, \text{cm}^2 .
  • Step 2: Use the formula for the area of a square, which is A=x2 A = x^2 , where x x is the side length.
  • Step 3: Solve the equation x2=49 x^2 = 49 .
  • Step 4: To find x x , take the square root of both sides: x=49 x = \sqrt{49} .
  • Step 5: Calculate 49=7 \sqrt{49} = 7 .

Therefore, the side length of the square is x=7cm x = 7 \, \text{cm} .

From the given answer choices, choice 2: x=7 x=7 is correct.

Answer

x=7 x=7