Question

the side of a rectangle are(5.181+or-0.3)m and (17.81+or-0.6)m.find their sum with error limits​

Answer 1

Sum of rectangle with error limits = (45.982 +or- 1.8)m

Explanation:

Given: The side of a rectangle are(5.181+or-0.3)m and (17.81+or-0.6)m.

Find: Sum with error limits​

Solution:  

Length of the rectangle = (5.181+or-0.3)m

Breadth of the rectangle = (17.81+or-0.6)m.

Sum of the rectangle = 2 (l+b)

If l = 5.181 + 0.3, then l = 5.481m

If b = 17.81 + 0.6, then b = 18.41m

Sum of rectangle = 2 (5.481 + 18.410) = 47.782m

If l = 5.181 - 0.3, then l = 4.881m

If b = 17.81 - 0.6, then b = 17.21m

Sum of rectangle = 2 (4.881 + 17.210) = 44.182m

Sum of rectangle with error limits = 2 (5.181+or-0.3 + 17.81+or-0.6)

 = 2 (22.991 +or- 0.9)

= (45.982 +or- 1.8)m

The sum will be 47.782m if the error is +1.8m, and  44.182m if the error is -1.8m.

Answer 2

Answer:

22.99 ± 0.9m

Explanation: