2. The area of a rectangle exceeds the area of the square by 24 cm2
Find x .
(x - 3) cm
(x - 7) cm
(x- 6) cm
(x - 7) cm

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