The point (p,q) lies on the line y = 2/5*x. Also, the points (0,0), (p,0), (p,q), and (0,q) form a rectangle with area 90. Find p.
Assuming you meant \(y = \dfrac25 x\),
Substituting (p, q) into the equation, \(q = \dfrac{2p}5\),
Because pq = 90, p(2p/5) = 90, which means p2 = 225
Taking square roots on both sides, p = 15.
