Question

SOMEONE PLEASE HELP ME OUTCalculate the minimum and maximum possible areas. Round your answers to the nearest whole square unit. A rectangular garden plot measures 12 feet by 28.6 feet. The minimum possible area is about ft. The maximum possible area is about ft ?

Answer 1

For this problem we have the following info given: We have a rectangular garden and the measures are 12 ft of width and 28.6ft of lenght . We also know that the definition for the area of a rectangular figure is given by:

`A=wl`

Where w represent the width and l the length. and we want to estimate the maximun and minimum area for this case so we need to use a delta of error in order to have two measures for the area:

`A=(w+\Delta w)(l+\Delta w)`

And let's assume an error of 0.2 ft so then the maximum area would be:

`A_{\text{max}}=(12+0.2)ft(28.6+0.2)ft=351.36ft^2`

And the minimum area would be:

`A_(mi)=(12-0.2)ft(28.6-0.2)ft=335.12ft^2`

And for this case the minimum area would be 335.12 ft2 and the maximum 351.36ft2. It's important to remember that the answer depends on the delta value used for this case we use 0.2ft but if we use for example 0.5ft the answer would change.