Question

if the area of square 1 is 250 units² and the area of square 3 is 120 units².What is the area of square 2?

Answer 1

The area of square 2 is 130 units squared

Answer 2

Answer:

The area of square 2 is 130 units square

Explanation:

see the attached figure to better understand the problem

we know that

The area of a square is

where

b is the length side of the square

Let

b1 ----> the length side of square 1

b2 ----> the length side of square 2

b3 ----> the length side of square 3

Applying the Pythagoras Theorem

-----> equation A

we have

Remember that

so

substitute in the equation A and solve for b2^2

therefore

The area of square 2 is 130 units square