Question

In a parallelogram base and it's corresponding altitude are in the ratio of 5:2 . If the area of the parallelogram is 360m , find its base and altitude

Answer 1

let base be 5x and height be 2x
then area of llgm = base ×height
360= 5x × 2x
$360 = 10 {x}^{2}$
x=6

base= 30m
altitude= 12m

Answer 2

Let the base of parallelogram be X then the altitude will be 5X/2
Area = 360 = X x 5X/2 (base x height)
=> 720/5 = 144 = X^2
=> X = 12
=> base = 12 m and altitude = 30 m