In a parallelogram the base and height are in the ratio 5:2.if the area of the parallelogram is 360m2.find it's base and height.
5x * 2x = 360
Find x, and then you know the base and height.
Let the base of the parallelogram be 5X and the height of the parallelogram be 2X
Area 5X x 2x 10x 360 m square
10xa 360
square 360 by 10 equal to 36
X square root of 36 equal to 6
Base 5X 5 (6) equal to 36 cm
Height 2X 2 (6) equal to 12cm
To find the base and height of the parallelogram, we need to use the formula for the area of a parallelogram.
The formula is given by:
Area = base × height
We are given that the area of the parallelogram is 360m².
Let's assume the base is 5x and the height is 2x, where x is the common ratio.
Substituting the values into the formula, we have:
360 = 5x × 2x
Simplifying the equation, we get:
360 = 10x²
Dividing both sides of the equation by 10, we have:
36 = x²
Taking the square root of both sides of the equation, we get:
x = √36
x = 6
Now, we can find the base and height by substituting the value of x back into our original assumptions:
Base = 5x = 5(6) = 30
Height = 2x = 2(6) = 12
Therefore, the base and height of the parallelogram are 30m and 12m, respectively.