Question

The length and width of the rectangle below have both been rounded to 1 d.p.The perimeter of the rectangle is p m.Calculate the error interval for p.

Answer 1

The error interval for the perimeter p is 57.4 ≤ p ≤ 57.76

How to determine the error interval for p.

From the question, we have the following parameters that can be used in our computation:

The rectangle

Where, we have

Length = 12.5 m to 1 dp

Width = 16.3 m to 1 dp

Before rounding the possible lengths and widths are

Length = 12.45m to 12.54m

Width = 16.25 m to 16.34m

The perimeter is calculated using

P = 2 * (Length + Width)

So, we have

P = 2 * (12.45 + 16.25) to P = 2 * (12.54 + 16.34)

Evaluate

P = 57.4 to P = 57.76

Hence, the error interval for p is 57.4 ≤ p ≤ 57.76