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A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.

Which equation represents x, the side length of the greater square?
x^2 + (x – 2)^2 = 10
x^2 + 2x^2 = 10
x^2 + (x – 2)^2 = 100
x^2 + 2x^2 = 100

Respuesta :

The correct answer is x^2 + 2x^2 = 100.
The equation that represents x as the side length of the greater square is x2 + 2x2 = 100. The square, which is 10 by 10 in grid, has a total of 100 squares. The statement  “one should have a side length two” means that there is 2X and the other statement greater than the other means that 2x2.

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