Question

The side of the square is incorrectly measured as $5.11$ meters instead of $5$ m. Find the resulting error in the calculation of the area of the square.

Answer 1

Actual Area =$(5{)}^2=25$

Incorrect Area =$(5.11{)}^2$

error =$(5.11{)}^2-(5{)}^2$

$=(5.11-5)(5.11+5)$

$=\left(0.11\right)\left(10.11\right)$

$=1.1121m^2$