Question

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

Answer 1

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`