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
If each side of Square A is 5 units in length, what is the area of Square B?
Answer
square units
Answers
GPT-4o mini
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:
\[
\boxed{25} \text{ square units}.
\]
\[
\text{Area} = \text{side length}^2.
\]
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:
\[
\boxed{25} \text{ square units}.
\]