Given points A′,B′,C′,D′, on the extension of the [AB],[BC],[CD],[DA] sides of the convex quadrangle ABCD, such, that the following pairs of vectors are equal: [BB′]=[AB],[CC′]=[BC],[DD′]=[CD],[AA′]=[DA]. Prove that the quadrangle A′B′C′D′ area is five times more than the quadrangle ABCD area.