Area of the trapezium formed by x-axis; y-axis and the lines

Area of the trapezium formed by x-axis; y-axis and the lines 3x + 4y = 12 and 6x + 8y = 60 is:

As per the given question , we have
For 3x + 4y = 12,
By putting x = 0, y = 3
By putting, y = 0, x = 4
For 6x + 8y = 60,

By putting x = 0, y =	15
	2

By putting y = 0, x = 10

∴ Area of ∆ OCD =	1	x OD x OC
	2

Area of ∆ OCD =	1	x 10 x	15	=	75
	2		2		2

∴ Area of ∆ OAB =	1	x OB x OA =	1	x 4 x 3 = 6
	2		2

∴ Area of trapezium =	75	- 6
	2

Area of trapezium =	75 - 12	=	63	= 31.5 sq. unit
	2		2