Final answer:
To find the dimensions of the rectangle, you can use the formula for area and perimeter of a rectangle and solve the equations simultaneously. The correct dimensions are Length = 8 cm and Width = 6 cm.
Step-by-step explanation:
To find the dimensions of the rectangle, let's assume the length of the rectangle is 'L' and the width is 'W'.
Given that the area of the rectangle is 48 cm², we can write the equation: L x W = 48.
Also, the perimeter of the rectangle is given as 38 cm, which can be expressed as: 2L + 2W = 38.
We can solve these two equations simultaneously to find the dimensions of the rectangle. The correct answer is Option B) Length = 8 cm, Width = 6 cm.