If the side of a square are lengthened by 7cm, the area becomes 225cm^2.
Please help me find the length of the original side!
Thank you
since 225 = 15^2, the lengthened sides are 15. So, the original sides were 8.
To find the length of the original side of the square, we can use algebra to solve for x, which represents the original side length.
Let's assume the original side length is x cm.
If the side is lengthened by 7 cm, the new side length becomes (x + 7) cm.
The area of the square is given by the formula: Area = side length^2. So, the area of the new square is (x + 7)^2.
We know that the area of the new square is 225 cm^2. So we can set up the equation:
(x + 7)^2 = 225
To solve this equation, we can take the square root of both sides:
√[(x + 7)^2] = √225
Simplifying, we get:
x + 7 = 15
Now, we can isolate x by subtracting 7 from both sides:
x = 15 - 7
x = 8
Therefore, the length of the original side of the square is 8 cm.
To find the length of the original side of the square, we can set up an equation using the given information.
Let's assume that the original side length of the square is represented by "x" cm.
When the side length is lengthened by 7 cm, the new side length becomes (x + 7) cm.
The area of the square is given as 225 cm^2.
The formula for the area of a square is: Area = side length^2.
Therefore, we can set up the equation:
(x + 7)^2 = 225
To solve for x, we need to take the square root of both sides of the equation:
√((x + 7)^2) = √225
Simplifying:
x + 7 = 15
To isolate x, we subtract 7 from both sides of the equation:
x = 15 - 7
x = 8
The original side length of the square is 8 cm.