Final answer:
The actual measurements corresponding to a model showing 6cm by 7cm, with an assumed scale of 1 cm representing 50 cm, would be 300cm by 350cm. This fits option A of the given choices.
Step-by-step explanation:
The student is asking how to find the actual measurements of an object based on its model dimensions. The model dimensions given are 6cm by 7cm. To determine the actual size, we need to know the scale of the model. Let's assume a common scale factor for this example, such as 1 cm on the model representing 50 cm in reality (which is not stated in the question but is necessary for computation).
Step 1: Convert the model's length from centimeters to actual centimeters using the scale factor. Since 1 cm on the model represents 50 cm in reality, we multiply the model's length by 50.
6 cm × 50 = 300 cm
Step 2: Convert the model's width from centimeters to actual centimeters using the scale factor. Similarly, we multiply the model's width by 50.
7 cm × 50 = 350 cm
Based on these calculations, the actual measurements matching the model would be 300cm by 350cm, which corresponds to option A.