On a coordinate plane, Square A is translated 4 units to the right and 6 units up, resulting in Square B.

If each side of Square A is 5 units in length, what is the area of Square B?
Answer

square units

1 answer

The area of a square is calculated using the formula:

\[ \text{Area} = \text{side length}^2. \]

Given that each side of Square A is 5 units, the area of Square A is:

\[ \text{Area of Square A} = 5^2 = 25 \text{ square units}. \]

When Square A is translated to create Square B, the size of Square B remains the same. Translations do not change the dimensions of shapes; they only change their positions on the coordinate plane.

Therefore, the area of Square B is the same as the area of Square A:

\[ \text{Area of Square B} = 25 \text{ square units}. \]

So, the area of Square B is:

\[ \boxed{25} \text{ square units}. \]