Find the minimum and maximum possible areas for a rectangle measuring 4.15 cm by 7.34 cm. Round to the nearest hundredth.?

1 Answer
May 16, 2018

Minimum area: 30.40 to the nearest hundredth,
maximum area: 30.52 to the nearest hundredth

Explanation:

Let width, #w#, be 4.15
Let height, #h#, be 7.34

Therefore the bounds for the width are:

#4.145<=w<4.155#

The bounds for the height are:

#7.335<=h<7.345#

This means that the minimum area can be calculated using the lower bounds, and the maximum area using the upper bounds, hence we get this, where #A#, is the area, to the nearest hundredth.

#30.40<=A<30.52#