Question

Let ABCD be a trapezoid with bases AB and CD. Let AD=5 and BC=7, and let P be a point on side CD such that CP/DP=7/5. Let X,Y be the feet of the altitudes from P to AD, BC respectively. Show that PX=PY.

Answer 1

Mr Frank has 1.03 kilograms of fertilizer for the plants in his nursery. He wants every plant to get 95 mg of fertilizer.
What is the number of plants he could fertilize with that amount?