Respuesta :

Answer:

20 square units

Step-by-step explanation:

[tex]c = \sqrt{ax^{2} + bx^{2}} = \sqrt{12x^{2} + 16x^{2}} = 20[/tex]

Answer:

a 25 square units

Step-by-step explanation:

first find the length of the two sides of the triangle (sides of square 1 and 2)

the perimeter of a square is the length of the side × 4

so to find the length of the side, divide the perimeter by 4

perimeter of square 1: 12 units

divide it by 4: 3 units, so that's the length of side 1

perimeter of square 2: 16 units

divide it by 4: 4 units, so that's the length of side 2

now use a2 + b2 = c2

3 squared + 4 squared = c2

and solve

9 + 16 = c2

25 = c2

square root of 25 = square root of c2

5 = c

So now multiply 5 × 5 to find the area of the square

25

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