A mammography apparatus is provided for detecting malignant cells in a breast, comprising an x-ray source and an x-ray detector that cooperates with the x-ray source for providing an x-ray image of said breast, and further comprising a paddle for flattening the breast by pressing it against said x-ray detector, and comprising a contact area measuring device for measuring a contact area between the breast and the paddle, wherein the contact area measuring device is embodied with at least a first laminate of an electrically insulating material and an electrically low resistance material, which first laminate is provided on a side of the paddle facing the breast, and wherein the electrically low resistance material is sandwiched between the paddle and the insulating material.