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#16044

geometry

similarity

area

hard

120 sec

Note: Figure not drawn to scale.

In the figure shown, triangles $A BC$ and $A D E$ are right triangles with right angles at $C$ and $E$ , respectively, and share angle $A$ . If $A C = 5$ units, $A E = 25$ units, and $BC = 7$ units, what is the area, in square units, of trapezoid $BCE D$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.