what is the base length of a paralleogram whose area is 52 m squared and whose height is half is based lenghth
To find the base length of a parallelogram, we need to use the formula for its area. The formula for the area of a parallelogram is given by A = base × height, where A represents the area, base represents the base length, and height represents the height of the parallelogram.
In this case, we are given that the area is 52 m² and the height is half of the base length. Let's denote the base length as "b" and the height as "h."
We know that the area of the parallelogram is equal to 52 m², so we can write the equation as:
52 = b × h
Since the height is given as half of the base length, we can substitute 0.5b for h:
52 = b × 0.5b
Now we can solve for the base length "b."
To start, we can simplify the equation by multiplying 0.5b by b:
52 = 0.5b²
To remove the decimal, we can multiply both sides of the equation by 2:
104 = b²
Next, we can take the square root of both sides to solve for "b":
√104 = √(b²)
Approximately, √104 is equal to 10.20. Therefore, the base length of the parallelogram is roughly 10.20 meters.