The measurements of the represented shape relate to the measurements of the grid shape by the scale factor of 4.
The scale factor refers to the ratio of an original drawing, shape, or model to a scaled drawing, shape, or model.
The scale factor can be scaled up or scaled down, depending on the circumstance.
A scale factor of 4 implies that the dimensions of the scale drawing is 4 times the dimensions of the original object, shape, or drawing.
Thus, we can conclude that the measurements of the represented shape relate to the measurements of the grid shape by allowing for the accurate representation of objects at a different scale.