The total Weight of Steel gates is 150kg.
Total Weight
Given:
A rectangular gate is made using 6 straight pieces of steel. the weight of the steel is 2.5kg per meter
To find:
Total weight of the steel gate
Gate is of [tex]$5 \mathrm{~m} * 12 \mathrm{~m}$[/tex]
two Horizontal rods [tex]$=5 \mathrm{~m}$[/tex] each
two vertical rods [tex]$=12 \mathrm{~m}$[/tex] each
two Diagonal rods to be calculated using Pythagoras theorem
[tex]Diagonal length ${ }^{2}=5^{2}+12^{2}$[/tex]
⇒ Diagonal length [tex]$2=13^{2}$[/tex]
⇒ Diagonal length [tex]$=13 \mathrm{~m}$[/tex]
The total length of Rod [tex]$=2(5+12+13)$[/tex]
[tex]$=2(30)$[/tex]
[tex]$=60 \mathrm{~m}$[/tex]
weight of the steel is [tex]$2.5 \mathrm{~kg}$[/tex] per meter
Total Weight of Steel gate [tex]$=60 \times 2.5=150 \mathrm{~kg}$[/tex]
Therefore, the total weight of the steel gate is 150kg.
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