Final answer:
The width of the desk with a length of 48 inches is approximately 38.4 inches.
Step-by-step explanation:
The length of a rectangular shaped desk is 30 inches and the width is 24 inches. If a similar shaped desk has a length of 48 inches, we can find the width of this desk using the concept of scale factor.
The scale factor is determined by dividing the length of the larger desk (48 inches) by the length of the smaller desk (30 inches): 48/30 = 1.6.
To find the width of the larger desk, we multiply the scale factor by the width of the smaller desk: 1.6 Ă— 24 = 38.4 inches. Therefore, the width of the larger desk is approximately 38.4 inches.