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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.

 Jun 18, 2020
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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.

 Jun 18, 2020

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