Question

Can anyone help? Currently stuck with this problem

A rectangle has width 4.1 and height 3.9 . What is the percentage error if an approximate value of 4 × 4 = 16 is used for the area of this rectangle?

Answer 1

Answer: The actual area of the rectangle is 4.1 * 3.9 = 16.09. The percentage error is calculated as follows:

(|actual value - approximate value| / actual value) * 100% = (|16.09 - 16| / 16.09) * 100% = 0.57%

So, the percentage error is 0.57%.

Explanation:

Answer 2

0.06254%

Explanation:

You want the percentage error in using 4·4=16 as an estimate for the area of a rectangle that is 4.1 by 3.9.

Percentage error

The percentage error is found using the formula ...

percent error = (estimate - actual)/actual × 100%

percent error = (16 -(4.1×3.9))/(4.1×3.9) × 100%

= (16 -15.99)/15.99 × 100% ≈ 0.06254%