Final answer:
Therefore, the area of square 1 is 441 square units. Therefore, the answer is not one of the options provided.
Step-by-step explanation:
To find the area of square 1, we need to know its perimeter. Since square 2 has a perimeter of 48 units and square 3 has a perimeter of 36 units, we can assume that square 1 has the same perimeter as square 2 and 3 combined. Therefore, the perimeter of square 1 is:
P1=P2+P3=48+36=84 units
We can use the formula for the area of a square to find the area of square 1. The formula for the area of a square is:
A=s^2
where s is the length of a side of the square.
To find the length of a side of square 1, we can use the formula for the perimeter of a square, which is:
P=4s
where P is the perimeter of the square.
Substituting P1=84 into the formula above, we get:
84=4s
Solving for s, we get:
s=21 units
Therefore, the area of square 1 is:
A1=s^2
=21^2
=441 square units
Therefore, the answer is not one of the options provided. The correct answer is 441 square units.