Question

Jon is drawing a quadrilateral.

Answer 1

Answer:

We know that the measure of each side is:

5.2cm to 1 decimal place.

Then we can assume that the error is 0.05cm (half of the second decimal place).

With this, the interval of the length of each side will be:

(5.2cm - 0.05cm) = 5.15cm  (as the minimum)

(5.2cm + 0.05cm) = 5.25cm (as the maximum)

Then the interval is (5.15cm, 5.25cm)

2) We know that the perimeter of a square of sidelength L is:

P = 4*L

In this case, the minimum perimeter will be if we choose the smallest sidelength, this is:

P = 4*5.15cm = 20.6cm

And the maximum perimeter can be:

P = 4*5.25cm = 21cm

Then the interval is: (20.6cm, 21cm)

Here we can see that the error for the perimeter is 0.2cm, which is equal to 4 times the error of the length of a side (0.05cm) , as expected.