Answer:
The area of each square is 16 square units.
Step-by-step explanation:
Given,
The two squares are identical.
Hence, their areas are of the same values.
Area of square 1:
[tex] = 3x + 7 [/tex]
Area of square 2:
[tex] = 5x + 1 [/tex]
As, their areas are equal,
[tex]3x + 7 = 5x + 1[/tex]
[tex]7 - 1 = 5x - 3x[/tex]
[tex]6 = 2x[/tex]
[tex] \frac{6}{2} = x[/tex]
[tex]3 = x[/tex]
Therefore,
[tex]5x + 1 = 5(3) + 1 = 15 + 1 = 16[/tex]
[tex]3x + 7 = 3(3) + 7 = 9 + 7 = 16[/tex]
