area of parallelogram formed by the lines y = mx , y = mx + 1, y = nx + 1 and y = nx equals?

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Please find below the solution to the asked query:

From figure, A0,1 , C0,0B: y=mx and y=nx+1mx=nx+1x=1m-ny=mx=mm-nB1m-n,mm-nD: y=nx and y=mx+1nx=mx+1x=1n-my=nxy=nn-mD1n-m,nn-marea of paralleogram ABCD=2×area of ABCABC area=120111m-nmm-n1001=12×0+0+1.1m-n-0=12m-n    using determinant methodhence, area of paralleogram ABCD=2×area of ABC=2×12m-n=1m-n

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