In a parallelogram the base and height are in the ratio of 5:2 ,if the area of parallelogram is 360 find base and height
base --- 5x
height --- 2x
(5x)(2x) = 360
10x^2 = 360
continue, find x, then sub back into my definitions
60
To find the base and height of a parallelogram, we can use the formula for the area of a parallelogram:
Area = base * height
Given that the area of the parallelogram is 360, we need to determine the values of the base and height.
Let's assume the ratio of the base to the height is 5:2. We can represent this ratio as,
Base = 5x
Height = 2x
Now, substitute these values into the formula for the area of a parallelogram:
Area = base * height
360 = (5x) * (2x)
Simplify the equation:
360 = 10x^2
Divide both sides of the equation by 10:
36 = x^2
Take the square root of both sides to solve for x:
√36 = x
x = 6
Now, substitute the value of x back into the expressions for the base and height:
Base = 5x = 5 * 6 = 30
Height = 2x = 2 * 6 = 12
Therefore, the base of the parallelogram is 30 units, and the height is 12 units.