Question

Find the minimum and maximum possible areas for a rectangle measuring 4.15 cm by 7.34 cm. Round to the nearest hundredth. A. minimum area: 30.40 cm2maximum area: 30.52 cm2 B. minimum area: 31.76 cm2 maximum area: 34.98 cm2 C. minimum area: 24.97 cm2 maximum area: 36.46 cm2 D. minimum area: 29.89 cm2 maximum area: 31.04 cm2

Answer 1

This is probably in the context of a discussion of significant figures and accuracy.

When we record a measurement of 4.15 cm with two significant figures, that means we believe the exact value is in the range from 4.145 cm to 41.155 cm

Similarly 7.34 really means between 7.335 and 7.345 cm.

The minimum area rectangle is


`4.145 * 7.335 = 30.403575 \approx 30.40`

The maximum area rectangle is


`4.155 * 7.345 =30.518475 \approx 30.52`

Choice A