Question

A plumber has 50 meters of the pipe and he has to make 25 pieces out of a meter of pipe. How many pieces can he make out of
this pipe?
O 1320
4250
O 1636​

Answer 1

Step-by-step explanation:

$\Large\bf{\color{coral}GiVeN,}$

The area of a trapezium is 0.05 m²·

Height (h) of trapezium is 20 cm or 0.2 m.

One of the parallel side is shorter than the other by 8 cm or 0.08 m.

$\bf\pink{Let,}$

a be the one of the parallel side which is longer than other.

And b be the shorter side.

$\bf\purple{According\:to\:the\:question,}$

$\longmapsto\:\:\bf\green{b\:=\:(a\:-\:0.08)}$

$\bf\blue{We\:know\:that,}$

$\red\bigstar\:\:\bf{\color{peru}Area\:=\:\dfrac{1}{2}\:h\:(a\:+\:b)\:}$

$:\implies\:\:\bf{0.05\:=\:\dfrac{1}{2}\times{0.2}\:(a\:+\:a\:-\:0.08)\:}$

$:\implies\:\:\bf{0.05\:=\:0.1\:(2a\:-\:0.08)\:}$

$:\implies\:\:\bf{2a\:-\:0.08\:=\:\dfrac{0.05}{0.1}\:}$

$:\implies\:\:\bf{2a\:=\:0.5\:+\:0.08\:}$

$:\implies\:\:\bf{2a\:=\:0.58\:}$

$:\implies\:\:\bf{a\:=\:\dfrac{0.58}{2}\:}$

$:\implies\:\:\bf\orange{a\:=\:0.29\:m\:=\:29\:cm}$

$\Large\bold\therefore$ The length of the longer side is 0.29m or 29cm.

=》 b = (a - 0.08) m

=》 b = (0.29 - 0.08) m

=》 b = 0.21 m = 21 cm