Question

Your bedroom has a rectangular shape, and you want to measure its area. You use a tape that is precise to 0.001 m m and find that the shortest wall in the room is 3.547 m m long. The tape, however, is too short to measure the length of the second wall, so you use a second tape, which is longer but only precise to 0.01 m m . You measure the second wall to be 4.79 m m long. Which of the following numbers is the most precise estimate that you can obtain from your measurements for the area of your bedroom?

a) 30 m^2.
b) 31.4 m^2.
c) 31.37 m^2.
d) 31.371 m^2.

Answer 1

b) 31.4 m^2

Step-by-step explanation:

Area of rectangle = lb

= 4.79 x 3.547

= 16.990

Approximately 17m²

A¹ = pi(d/2)²

= Pi(6.32m/2)²

= 31.37m

=Approximately 31.4

31.4 m² is the most precise estimate that you can obtain from your measurements for the area of your bedroom