Joe measures the side of a square correct to 1 decimal place. He calculates the upper bound for the area of the square as 37.8225 cm2. Work out Joe's measurement for the side of the square
Answers
Given : Joe measures the side of a square correct to 1 decimal place.
He calculates the upper bound for the area of the square as 37.8225 cm²
To Find : Joe's measurement for the side of the square
Solution:
area of the square = 37.8225 cm²
Side of the square = √ 37.8225
6.15
37.8225
6 36
______
182
121 121
_______
6125
1225 6125
________
0
upper bound of side 6.15
Hence side length is less than or equal to 6.15
Hence Joe's measurement for the side of the square = 6.1 cm ( upto one decimal place )
if Area would have been lower bound then measurement for the side of the square = 6.2 cm
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