Question

The length of a diagnol square is 7.5 mm. FInd the area of the square

Answer 1

Use pythagorean theorem. If it is a square, then all sides must be equal in length. Call this length \[x\]

Answer 2

The diagonal is then \[\sqrt{x^2+x^2}=\sqrt{2x^2}\]

Answer 3

Since this is equal to 7.5mm, \[\sqrt{2x^2}=7.5\]

Answer 4

Solve for x, which represents the length of a side of the square.

Answer 5

Since area is length times width, the area is just \[x(x)\]

Answer 6

=x^2