# The length and breadth of a rectangular area are 25.2 cm and 16.8 cm respectively and have been measured to an accuracy of 0.1 cm. Find the percentage error in the area .

$\begin{array}{1 1}(A)\;2.4\% \\(B)\;1 \% \\(C)\;9.8\% \\(D)\;2 \% \end{array}$

$A= l \times b$
$\large\frac{\delta A}{A} $$\times 100 = \large\frac{\Delta l}{l}$$\times 100 +\large\frac{\Delta b}{b} $$\times 100 \% error = \large\frac{0.1}{25.2}$$ \times 100 +\large\frac{0.1}{16.8}$$\times 100$
$\qquad= 0.4 \% +0.6 \% =1.0\%$
Hence B is the correct answer.