Question

A piece of rope 10m long is cut into three piece if the length of the two piece is 9by2 and 16by5 respectively then find the length if the third angle

Answer 1

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correct Question :-

A piece of rope 10m long is cut into three piece if the length of the two piece is${9}{2}$and ${16}{5}$respectively then find the length of the third peice

Given :-

Total length = 10 m

length of 1st piece = $\frac {9}{2}$

length of 2nd piece = $\frac {16}{5}$

To find :-

length of 3rd piece = ??????

step by step solution :-

let the length of 3rd piece be x

$10m = \frac {9}{2} + \frac {16}{5} + x$

$10m = \frac {45+32}{10} + x$

$10m = \frac {77}{10} + x$

$x = 10 - \frac {77}{10}$

$x =\frac{33}{100}$

answer :-

length of 3rd piece = $x =\frac{33}{100} meter$

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