Answer:
7x²-3x
Explanation:
What is the are of the shaded region. The inner square is a width of x and a length of x+7. The outer square is a length of 4x and a width of 2x + 1.
Area of a square = Length * Length
Area of the inner square = x (x+7)
Area of the inner square = x²+7x
Area of the outer square = 4x(2x+1)
Area of the outer square = 8x²+4x
Area of the shaded region = Area of outer square - Area of inner square
Area of the shaded region = (8x²+4x)-(x²+7x)
Area of the shaded region = 8x²+4x-x²-7x
Area of the shaded region = 7x²-3x
This gives the area of the shaded region