If all the sides of a right triangle increase in length by 5%, then by what percentage does the area of the triangle increase?  Pick
A) 10.25%  B) 20.50%  C) 25.75%  D) 30.25%  E) 35.50%
Let B be the base and H be the height of the original triangle.   The original area is (1/2)BH.   The area of the expanded triangle is (1/2)(1.05B)(1.05H) = (1.05)(1.05)(1/2)BH = 1.1025(1/2)BH   The answer is 10.25%.
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If all the sides of a right triangle increase in length by 5%, then by what percentage does the area of the triangle increase?