Answered

The length and breath of a rectangular block are 25.2cm and 16.8cm respectively measured with an accuracy of the 0.1cm then find the area of the rectangular block?

Answer :

Answer:

Explanation:

length = 25.2cm

breath = 16.8cm

Area=l×b

△A÷A=△l÷l+△b÷b

0.1÷25.2+0.1÷16.8  =  0.00992 ≈ 0.01

This is the relative error.

Geographia

Explanation:

Here,

I = ( 25.2 ± 0.1 )cm, A = ?

Now,

A = I × b = 25.2 × 16.8=423.36cm²=423.4cm²

("rounding off to one decimal place")

ΔA / A= ±(ΔI/ I+ Δb/ b) = ±(0.1 / 25.2 + 0.1 / 16.8)=4.2 / 423.36

Δa = ±4.2A/423.36 = ±4.2cm²

Hence, area of block

=(423.4±4.2)cm²

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