A rod of length l lies along the y-axis with its center at the origin. the rod has a nonuniform linear charge density λ = a|y|, where a is a constant with the units c/m2.

Let L be the length of the deck = 42 feet

Let W be the width of the deck = 28 feet

A = LxW

A = 42 feet x 28 feet

A = 1176 square feet

Remaining area to be painted = 1176 square feet - 350 square feet

Remaining area to be painted = 826 square feet