When measuring the length a and the width b of a rectangle, it was found that 5.4< a< 5.5 and 3.6< b< 3.7 (in centimeters). Find the possible values of: the area of the rectangle
Accepted Solution
A:
Answer:The possible values of: the area of the rectangle are all real numbers greater than 19.44 square centimeters and less than 20.35 square centimeters[tex]19.44\ cm^2< A< 20.35\ cm^2[/tex]Step-by-step explanation:Leta ----> the length of rectangleb ----> the width of rectanglewe know thatThe area of rectangle is[tex]A=ab[/tex]we know that[tex]5.4\ cm< a< 5.5\ cm\\3.6\ cm< b< 3.7\ cm[/tex]Determine the maximum area and the minimum area Maximum areaFor a=5.5 cm, b=3.7 cm[tex]A<(5.5)(3.7)[/tex][tex]A<20.35\ cm^2[/tex]Minimum areaFor a=5.4 cm, b=3.6 cm[tex]A>(5.4)(3.6)[/tex][tex]A>19.44\ cm^2[/tex]so[tex]19.44\ cm^2< A< 20.35\ cm^2[/tex]thereforeThe possible values of: the area of the rectangle are all real numbers greater than 19.44 square centimeters and less than 20.35 square centimeters