Question

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.
Mark this and return
Which equation represents x, the side length of the
greater square?
O x² + (x - 2)² = 10
O x² + 2x² = 10
Ox² + (x-2)2 = 100
O x² + 2x² = 100
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Answer 1

x² + (x-2)² = 100

Explanation:

Let the side of the greater square = x

the side of the smaller square = x - 2

Area of the greater square = x²

Area of the smaller square = (x-2)²

Total area = 10² = 100

Area of greater square + area of the smaller square = total area

x² + (x-2)² = 100