Question

The coordinates of the diagonals of a square are (2, 0) and (0, 5). What is the area of the square?

• A. $29sq.units$
• B. $\frac{\sqrt{29}}{\sqrt{2}}sq.units$
• C. $\frac{29}{4}sq.units$
• D. $14.5sq.units$

Answer 1

The correct option is D $14.5sq.units$

The length of the diagonals $=\sqrt{4+25}=\sqrt{29}$
Side of the square $=\frac{\sqrt{29}}{\sqrt{2}}$
Area $=\frac{29}{2}=14.5sq.units$