Allison measured her rectangular deck and found that it has dimensions of 512 yards by 8 yards. Both the length and the width may have a measurement error of up to 15%. What is the maximum possible area of Allison’s deck, rounded to the nearest thousandth of a square yard?

5416.96 square yards

Step-by-step explanation:

To find the maximum possible area, increase the dimensions by 15%, since the measurement error may be up to 15%.

512(1.15) = 588.8

8(1.15) = 9.2

Find the area using the area formula, A = lw

Plug in the length and width:

A = lw

A = (588.8)(9.2)

A = 5416.96

So, the maximum possible area is 5416.96 square yards

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