Question

A Carpenter was told to make

a rectangular desk with top
dimension of 50cm by40cm.
The Carperter altually made
the desk 60cm by 35cm.
Callulate the percentage
error in (a) the length and
b) the breath (1) the product
of the two enors (2) area of
the table top.​

Answer 1

a. Percent error = 12.5%

b. Percent error = 20%

c. Product = 250

d. Area of rectangle = 200 cm²

Explanation:

Given the following data;

Actual length = 40cm

Experimental length = 35cm

Actual breadth = 50cm

Experimental breadth = 60cm

To find the following values;

a. Percentage error in length;

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

`Percent \; error = \frac {experimental \;value - actual \; value}{ actual \;value} *100`

Substituting into the formula, we have;

`Percent \; error = \frac {35 - 40}{40} *100`

`Percent \; error = \frac {5}{40} *100`

`Percent \; error = 0.125 *100`

Percent error = 12.5%

b. Percentage error in breadth;

`Percent \; error = \frac {60 - 50}{50} *100`

`Percent \; error = \frac {10}{50} *100`

`Percent \; error = 0.2 *100`

Percent error = 20%

c. Product of the error;

Product = 12.5 * 20

Product = 250

d. Area of the table top;

Dimensions = 50 * 40 cm

Area of rectangle = length * breadth

Area of rectangle = 40 * 50

Area of rectangle = 200 cm²