In measuring the sides of a rectangle, errors of $5 %$ and $3 %$ in excess are made. The error percentage in the calculated area is ____.

$7.15 %$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$6.25 %$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$8.15 %$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$8.35 %$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
$8.15 %$

Let actual sides of the rectangle be 'l' and 'b' respectively.

The measured sides are $(l + 0.05 l)$ and $(b + 0.03 b)$ i.e. $1.05 l$ and $1.03 b$
Therefore, measured area $= (1.05 l) (1.03 b)$

Actual area $= l b$
Error in area $= 1.0815 l b - l b = 0.0815 l b$
$∴ % e r r o r = \frac{0.0815 l b}{l b} \times 100 % = 8.15 %$

Suggest Corrections

Similar questions

Q. In measuring the sides of a rectangle errors of

5

% and

3

% in excess are made. The error per cent in the calculated area is

Q. In measuring the sides of a rectangle, errors of

5 %

and

3 %

in excess are made. The error percent in the calculated area is

In measuring the length and breadth of a rectangle, errors of $5 %$ and $3 %$ in excess, respectively, are made. The error percent in the calculated area is

Q. An error of

2 %

in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

Q. In measuring the sides of a rectangle, one side taken 10% in excess and the other 20% in deficit Find the error percent in area calculated from the measurement.

Join BYJU'S Learning Program

In measuring the sides of a rectangle, errors of 5% and 3% in excess are made. The error percentage in the calculated area is ____.

The correct option is C 8.15% Let actual sides of the rectangle be 'l' and 'b' respectively. The measured sides are (l+0.05l) and (b+0.03b) i.e. 1.05l and 1.03b Therefore, measured area =(1.05l)(1.03b) Actual area =lb Error in area =1.0815lb−lb=0.0815lb ∴% error=0.0815lblb×100%=8.15%

In measuring the sides of a rectangle, errors of $5 %$ and $3 %$ in excess are made. The error percentage in the calculated area is ____.