Final answer:
If the width stays the same and the length is doubled, the new area of the screen will be twice the original area, which is 48 square inches.
Step-by-step explanation:
If the width of the student's computer screen remains constant and the length is increased by two times the original length,
we can determine the new area. Since the current area is 24 sq in, we can find the original dimensions.
However, we only need to focus on the length since the width remains unchanged.
If we double the original length and keep the width the same, the new area will be:
Original area = original width × original length
24 sq in = original width × original length
Let's assume the original width (W) stays the same, and the original length (L) gets doubled (2L). The new area (new length × same width) will be:
New area = W × 2L = 2 × (W × L) = 2 × 24 sq in = 48 sq in.
Therefore, the new area of the screen would be 48 square inches after doubling the length.