Question

a rectangular garden bed has a length of 5.67 meters and a width of 3.2 meters. what is the most accurate measure for the area of the garden? 18.144 square meters 18 square meters 18.1 square meters 18.14 square meters

Explanation:

Step1: Recall the area formula for a rectangle

The area formula for a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width.

Step2: Substitute the given values into the formula

Given \(l = 5.67\) meters and \(w=3.2\) meters. Then \(A=5.67\times3.2\).

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Step3: Consider significant - figures

The number \(5.67\) has three significant figures and \(3.2\) has two significant figures. When multiplying, the result should have two significant figures. But if we consider the most accurate measure (not just significant - figures, but the actual product result before rounding based on significant - figures rules), the product \(5.67\times3.2 = 18.144\). Rounding \(18.144\) to two decimal places (since \(5.67\) has two decimal places and \(3.2\) has one, and we want a more precise non - significant - figure - based rounding for "most accurate" in the context of the given options) gives \(18.14\).

Answer:

18.14 square meters