The measured dimensions of a rectangle are given to the nearest whole unit. Find the minimum and maximum possible areas of each rectangle.
To find : the minimum and maximum possible area of the rectangle. .
Answer to Problem 26P
Minimum and maximum possible area of the rectangle are 224.75 square ft and 255.75 square ft respectively.
Explanation of Solution
Given information: The measured dimensions of the rectangle are 16 ft by 15 ft to the nearest ft.
Calculation:
The degree of accuracy is half a unit of measure.
The measurement was made to the nearest ft , so the greatest possible error is half of 1 ft, that is 0.5 ft.
Therefore, minimum measurement of the dimensions of the rectangle are (16-0.5) ft by (15-0.5) ft, that is 15.5 ft by 14.5
And maximum measurement of the dimensions of the rectangle are (16+0.5) ft by (15+0.5) ft, that is 16.5 ft by 15.5 ft.
Therefore, minimum possible area of the rectangle is
And maximum possible area of the rectangle is
Thus, minimum and maximum possible area of the rectangle are 224.75 square ft and 255.75 square ft respectively.
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