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With a wooden ruler, you measure the length of a rectangular piece of sheet metal to be 12 mm. with micrometer calipers, you measure the width of the rectangle to be 5.98 mm. use the correct number of significant figures: what is (a) the area of the rectangle; (b) the ratio of the rectangle’s width to its length; (c) the perimeter of the rectangle; (d) the difference between the length and the width; and (e) the ratio of the length to the width?

Respuesta :

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A. The area of the rectangle is the product of the length and width as shown in the formula below.
          Area = Length x Width
Substituting the known values,
        Area = (12 mm) x (5.98 mm)
        Area = 71.76 mm²
To express the area in correct number of significant figures, we express it such that the number of significant figures is only 2. 
          Area = 72 mm²

b. ratio of the rectangle's width to its length
          ratio = (5.98 mm) / (12 mm) = 0.4983 
Since, the maximum number of significant figures is only two.
         ratio = 0.50 

c. Perimeter of the rectangle is calculated through the equation,
             Perimeter = 2L + 2W
             Perimeter = (2)(12 mm) + 2(5.98 mm)
              Perimeter = 35.96 mm
Since the minimum number of decimal numbers is 0, the final answer to this,
              Perimeter = 36 mm

d. difference between the length and width,
            Difference = 12 mm - 5.98 mm
            Difference = 6.02 mm
            Difference = 6 mm

e. the ratio of the length and the width,
         ratio = (12 mm) / (5.98 mm)
        ratio = 2.0 

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