Hi what are the steps of finding the Area of school sign.

Question

The school sign consist of two shapes. Rectangle and triangle on its top.

The base of the triangle is 2x-2 and its altitude is x+2. While the rectangle has x+3 of its height, and 2x-2 its width. The question is "Find a simplified expression for the area of the school sign."

Answer 1

rectangle's area = (2x-2)(x+3) = 2x^2 +4x -6

triangle's area = (2x-2)(x+2)/2 = (x-1)(x+2) = x^2 +x -2

add them to get 3x^2 +5x - 8 = (3x+8)(x-1) = Total Area of the sign