Answer:
11
Step-by-step explanation:
The rectangle has its sides to be
x - 3 and x - 6
The square has its sides to be x - 7
Area of both the square and rectangle is length multiplied by the breadth, so
Area of rectangle is
x - 3 * x - 6 =
x² - 9x + 18
Area of the square is
x - 7 * x - 7
x² - 14x + 49
From the question, we know that
Area of rectangle + 24 = area of square, so then
x² - 9x + 18 = x² - 14x + 49 + 24
Taking like terms, we know that
14x - 9x = 73 - 18
5x = 55
x = 11
