Respuesta :
Answer:
4 cm
Step-by-step explanation:
If x is the length of the side of the square (in cm), then the area of the base is ...
1344 = (40 -2x)(50 -2x)
336 = (20 -x)(25 -x) . . . . . divide by 4
336 = x^2 -45x +500
Subtracting 336 gives ...
x^2 -45x +164 = 0
(x -41)(x -4) = 0 . . . . . . . factor
x = 4 . . . . . . . . the dimension must be less than 20
The length of the sides of the squares is 4 cm.
_____
A graphing calculator makes short work of it.

The length of the sides of the square is 4cm
The formula for calculating the area of the rectangular base is expressed as:
A = LW
L is the length = 40 - 2x
Width = 50 - 2x
Given that the area of the resulting base is 1344cm, we need to get the length of the sides of the square "x"
1344 = (40-2x)(50-2x)
Factorize the equation as shown:
(40-2x)(50-2x) = 1344
2000 - 80x - 100x + 4x² = 1344
4x² - 180x + 2000 - 1344 = 0
4x² - 180x + 656 = 0
On factorizing, the positive value of x is 4. Hence the length of the sides of the square is 4cm
Learn more here: https://brainly.com/question/20968176