the side of a square are lengthened by 6cm the area becomes 121cm 2 square find the lenght of a side of the original square.
Square root of 121 = 11
Take it from there.
is it 5cm
Right!
To solve this problem, let's assume that the length of one side of the original square is x cm.
According to the given information, when the side of the square is lengthened by 6 cm, the new side length becomes (x + 6) cm.
Now, we know that the area of a square is equal to the square of its side length. Therefore, the area of the original square is x^2 square cm, and the area of the new square is (x + 6)^2 square cm.
According to the problem, the area of the new square is 121 square cm. So, we can write the equation:
(x + 6)^2 = 121
To find the solution, we need to solve this quadratic equation for x.
Taking the square root of both sides, we have:
x + 6 = √121
Simplifying further:
x + 6 = 11
Subtracting 6 from both sides:
x = 11 - 6
x = 5
Hence, the length of one side of the original square is 5 cm.