10.

Find the minimum and maximum possible areas of a rectangle measuring 2 km by 5 km.

minimum area: 6.75 km2 maximum area: 10 km2

minimum area: 10 km2 maximum area: 13.75 km2

minimum area: 6.75 km2 maximum area: 13.75 km2

minimum area: 13.75 km2 maximum area: 6.75 km2

1 answer

To find the minimum and maximum possible areas of a rectangle measuring 2 km by 5 km, we start by calculating the area using the formula for the area of a rectangle:

\[ \text{Area} = \text{length} \times \text{width} \]

Given:

  • Length = 5 km
  • Width = 2 km

Calculating the area:

\[ \text{Area} = 5 , \text{km} \times 2 , \text{km} = 10 , \text{km}^2 \]

Since the dimensions are fixed (2 km and 5 km), the area of the rectangle will remain constant at 10 km². Therefore, there are no minimum or maximum areas to consider beyond this fixed area.

The answer has to be:

  • Minimum area: 10 km²
  • Maximum area: 10 km²

It seems there are choices provided that don’t directly match this conclusion. Therefore, none of the options you provided are correct based on the calculation above.

If you are looking for different dimensions for possible rectangles or variations in measurements, please clarify.