In a parallelogram the base and height are in the ratio 5:2 if the area of parallelogram is 360 meter square, find its base and height

The easiest way to do it is :

Let the ratio be x
Area of a parallelogram= base × height
360m^2= 5x × 2x
360 = 10x^2
360÷10 = x^2
36= x^2
6=x
So, base is 5×6=30m
Height is 2 × 6= 12

Area = bh

b =5/2 h

Area = 5/2 h h

360 = 5/2 h^2

144 = h^2
12 = h
base = 30
check.
30/12 is a 5/2 ratio of b/h

Super

Not understood

answer is correct 100%

or

let the base be 5x and the height be 2x
(5x)(2x) = 360
10x^2 = 360
x^2 = 36
x = 6

so the base is 30 and the height is 12