ABCD is a parallelogram.
AB=9cm,BC=5cm and DE is perpendicular to AB.If the area of parallelogram is 36sqcm,find AE?
To find the length of AE, we need to use the formula for the area of a parallelogram:
Area = base * height
We are given the area of the parallelogram as 36 sq cm. The base of the parallelogram is BC, which is given as 5 cm. So we can rewrite the formula as:
36 = 5 * height
To find the height, we can rearrange the equation:
height = 36 / 5
height = 7.2 cm
So, the height of the parallelogram is 7.2 cm.
Now, since DE is perpendicular to AB, it is the height of the parallelogram. Therefore, DE = 7.2 cm.
To find AE, we need to subtract DE from AB:
AE = AB - DE
AE = 9 cm - 7.2 cm
AE = 1.8 cm
Therefore, AE is 1.8 cm.