Question

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

Answer 1

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:

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