Math Problem of The Week

Problem 1
Find all primes p such that 2p + p2 is also a prime.

Problem 2
Given rectangle ABCD with point E on CD. AE is 3, BE is 4, and AE is perpendicular to BE. What's the area of ABCD?

Problem 3

In one class, 3/5 of the students are boys.  There are 30 students in the class.  How many are girls? 


Problem 4
An eyebrow window is a 15-inch-deep slice off an 8.5-foot circle. How wide will the base of the window be?

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