# Parabola

Geometry Level 3

A rectangle is completed with three of its vertices (with integer coordinates) are on the parabola $${y^2} = 4x$$ and the normals at these points meet at a common point. If the area of the rectangle is 140 units and the fourth vertex is $$(a,\,b)$$then find the value of $$\frac{{|a| + |b|}}{5}$$.

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