Question

Write the area of the trapezoid in terms of a and b.

Answer 1

(a+b)a+(a+b)(b-a)/2 =a^2 +ab +(ab -a^2 +b^2 -ab)/2 =
=(2a^2 +2ab +ab -a^2 +b^2 -ab)/2 = (a^2 +2ab +b^2) =(a+b)^2