what is the base of a parallelogram with the height 6and 5 eighths feet and area of 26 and a half
area of ||gm = base x height
base (6 5/8) = 26.5
(53/8)base = 26.5
base = 26.5(8/53) = 4
chec:
4(6.625) = 26.5
I don't know this is why I came to this website
:(
To find the base of a parallelogram, you need to know its height and area. The formula to find the area of a parallelogram is:
Area = base x height
In this case, the height of the parallelogram is given as 6 and 5 eighths feet, and the area is given as 26 and a half.
To find the base, we can rearrange the formula:
base = Area / height
Now let's calculate the base of the parallelogram. First, let's convert the mixed numbers into improper fractions to make the calculation easier:
Height = 6 and 5/8 feet
To convert the mixed number to an improper fraction:
6 = 6/1
Multiply the whole number by the denominator (8) and add the numerator (5):
6 * 8 + 5 = 48 + 5 = 53
So, the height can be expressed as 53/8 feet.
Area = 26 and 1/2
To convert the mixed number to an improper fraction:
26 = 26/1
So, the area can be expressed as 26/2.
Now, substitute the values into the formula:
Base = Area / Height
Base = (26/2) / (53/8)
To divide fractions, multiply the first fraction by the reciprocal of the second:
Base = (26/2) * (8/53)
Base = (26 * 8) / (2 * 53)
Base = 208 / 106
Base ≈ 1.962 feet
Therefore, the base of the parallelogram is approximately 1.962 feet.