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Maths-

General

Easy

Question

A river is 80 metre wide. Its depth d metre and corresponding distance x metre from one bank is given below in table

Then approximate area of cross-section of river by Trapezoidal rule, is

710 sq. m
730 sq. m
705 sq. m
750 sq. m

The correct answer is: 705 sq. m

According to Trapezoidal rule,
$not stretchy integral subscript 0 end subscript superscript 80 end superscript x d x equals fraction numerator 80 minus 0 over denominator 8 cross times 2 end fraction open curly brackets 0 plus 2 left parenthesis 4 plus 7 plus 9 plus 12 plus 15 plus 14 plus 8 right parenthesis plus 3 close curly brackets$
= $5 left parenthesis 141 right parenthesis equals 705$ sq. metre.

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