Your bedroom has a rectangular shape and you want to measure its size. You use a tape that is precise to 0.001 m and find that the shortest wall in the room is 3.547 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. You measure the second wall to be 4.79 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. 17.0 m2

b. 16.990 m2

c. 16.99 m2

d. 16.9 m2

e. 16.8 m2

Question

Physics

Papito

2 July, 15:34

Your bedroom has a rectangular shape and you want to measure its size. You use a tape that is precise to 0.001 m and find that the shortest wall in the room is 3.547 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. You measure the second wall to be 4.79 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. 17.0 m2

b. 16.990 m2

c. 16.99 m2

d. 16.9 m2

e. 16.8 m2

+3

Answers (1)

Know the Answer?

Molly Barajas · Answer 1

Answer:16.99

Explanation:

gArea = 3.547*4.79=16.99013

however, the error in the measure isvthe sum of both precisions, thus, 0.01+0.001=0.011.

if we round the error = 0.01

then the correct area must be expressed as 16.99 + / - 0.01