If all of the the sides of a square are increased by 3 AM, the area becomes 64 m². Find the length of the original Square.
what difference does it make the tine the sides are changed??
On the other hand, the area is 64 m^2 if the side length is 8.
So x+3 = 8
I didnts mean the am its supposed to be m = meters
To find the length of the original square, we can use the information given and follow these steps:
Step 1: Let's assume the length of the original square is "x".
Step 2: The area of a square is given by the formula A = side length * side length, so the area of the original square is x * x = x².
Step 3: Since all sides of the square are increased by 3 units, the new side length becomes (x + 3). Therefore, the area of the larger square is (x + 3) * (x + 3) = (x + 3)².
Step 4: According to the given information, the area of the larger square is 64 m². So we can set up an equation: (x + 3)² = 64.
Step 5: To solve this equation, we can take the square root of both sides: √((x + 3)²) = √64.
Step 6: Simplifying, we get x + 3 = ±8.
Step 7: We have two possible solutions: x + 3 = 8 and x + 3 = -8.
Step 8: Solving for x in the first equation: x = 8 - 3, x = 5.
Step 9: Solving for x in the second equation: x = -8 - 3, x = -11.
Step 10: Since we are dealing with length, we can ignore the negative solution.
Therefore, the length of the original square is 5 m.