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:

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

For Square A, each side measures 5 units. So, the area of Square A is:

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

When Square A is translated to form Square B (4 units to the right and 6 units up), the side length remains unchanged. Therefore, Square B also has a side length of 5 units.

Now we can calculate the area of Square B:

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

Thus, the area of Square B is:

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