Question

The length and breadth of rectangle are measured as 10 cm and 5 cm respectively with 0.1 cm accuracy.Calculate area of r​

Answer 1

Answer:

..hy mate✌✌✌

★ GiveN :

Length of rectangle with accuracy = 10 ± 0.1 cm

Breadth of rectangle with accuracy = 5 ± 0.1 cm

★ To FinD :

We have to find the area of rectangle in terms of error limits.

★ SolutioN :

Firstly, we will calculate the area of rectangle.

So, We know the formula to find the area of rectangle.

★ Putting Values ★

Now, we will calculate the area of rectangle in terms of error limits by using error limit method.

★ Putting Values ★

Area of rectangle in terms of error limiting is 50 ± 1.5 cm².

Answer 2

★ GiveN :

Length of rectangle with accuracy = 10 ± 0.1 cm

Breadth of rectangle with accuracy = 5 ± 0.1 cm

★ To FinD :

We have to find the area of rectangle in terms of error limits.

★ SolutioN :

Firstly, we will calculate the area of rectangle.

So, We know the formula to find the area of rectangle.

$= > area \: = length \times breadth \:$

★ Putting Values ★

$area = 10 \times 5 \\ \: \: \: \: \: \: \: \: \: \: = 50$

Now, we will calculate the area of rectangle in terms of error limits by using error limit method.

=> ∆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.