ABCD is a parallelogram and AE perpendicular to DC if AB is 20cm. and the area of parallelogram is 80cm. then find the AE which is 90degree?
as with any parallelogram, the area
A = bh
base * height
4 cm
4cm
To find the length of AE in the given parallelogram, we can use the formula for the area of a parallelogram.
The area of a parallelogram is given by the formula:
Area = base × height
In this case, we know the area of the parallelogram is 80 cm², and we are given the length of AB, which is the base of the parallelogram (20 cm).
Using the formula, we can say:
80 cm² = 20 cm × height.
Now, we can solve for the height by dividing both sides of the equation by the length of the base (20 cm):
80 cm² / 20 cm = height.
Simplifying the equation, we get:
4 cm = height.
So, the height of the parallelogram, which is the length of AE, is 4 cm.