Question

The length and breadth of rectangle are 100+-2m and 50+-1
m .calculate area of rectangle with error limits.

Answer 1

Answer:

Area of Rectangle in terms of error limit = 50 ± 1.5 cm sq.

Explanation:

Given:

Length of Rectangle with accuracy = 10 ± 0.1 cm

Breadth of Rectangle with accuracy = 5 ± 0.1 cm

To Find:

Area of Rectangle in terms of error limits.

Now, we know that,

=> Area of Rectangle = length × breadth

=> Area of Rectangle = 10 × 5

=> Area of Rectangle = 50 cm sq.

Now, we will find area of Rectangle by error limit.

=> ∆A = A × (∆L/L + ∆B/B)

Now, put the values

=> ∆A = 50 × (0.1/10 + 0.1/5)

=> ∆A = 50 × (0.01 + 0.02)

=> ∆A = 50 × (0.03)

=> ∆A = 1.5

So, Area of Rectangle in terms of error limit are 50 ± 1.5 cm sq.

Answer 2

Answer:

Hello mate

Refer to attachment