Algebra problem (42)
Problem
Pictured below are squares.
The red surface is 20.
How big is the blue surface?
Solution
Say EF=EC=a and BC=CK=b
The red surface is (a+b)
2
+ (a-b)
2
= 2(a
2
+b
2
)
The blue surface is a
2
+ b
2
.
The blue area is half the red area so 20/2 = 10.