IDNLearn.com is your reliable source for expert answers and community insights. Our platform is designed to provide trustworthy and thorough answers to any questions you may have.
Sagot :
[tex]\bold{\boxed{\huge{\blue{\underline{Answer }}}}}[/tex]
[tex]\bold{\underline{Given :- }}[/tex]
[tex]\sf{The \: perimeter\:of\:the\:rectangle = 88}[/tex]
[tex]\sf{The \: length \: is\: 5 \:more \:than \: 2 × width }[/tex]
[tex]\bold{\underline{To \: Find :- }}[/tex]
- We have to find the length and breath of the rectangle .
[tex]\bold{\underline{Let's \:Begin :- }}[/tex]
[tex]\sf{ Let\: the\: breath \:be \: x }[/tex]
[tex]\sf{\underline{ We\: know\: that, }}[/tex]
[tex]\sf{\red{ Perimeter\: of \: rectangle = 2( L + W)}}[/tex]
[tex]\sf{\underline{ According\: to\: the \:question }}[/tex]
[tex]\sf{The \: length \: is \: 5 \:more \:than \: 2 × width }[/tex]
[tex]\sf{\underline{That \:is }}[/tex]
[tex]\sf{ Length = 2x + 5 }[/tex]
[tex]\sf{\underline{Subsitute the \:required \:values }}[/tex]
[tex]\sf{ Perimeter \:of\: rectangle = 2( L + W) }[/tex]
[tex]\sf{ 88 = 2( 2x + 5 + x) }[/tex]
[tex]\sf{ 88 = 4x + 10 + 2x }[/tex]
[tex]\sf{ 88 = 6x + 10 }[/tex]
[tex]\sf{ 88 - 10 = 6x }[/tex]
[tex]\sf{ 78 = 6x }[/tex]
[tex]\sf{ x = 78/6 }[/tex]
[tex]\sf{ x = 13 }[/tex]
[tex]\sf{ Thus,\: the \:width \:is \:13\: feet }[/tex]
[tex]\bold{\underline{ Now }}[/tex]
[tex]\sf{ Length = 2x + 5 }[/tex]
[tex]\sf{ Length = 2(13) + 5 }[/tex]
[tex]\sf{ Length = 26 + 5 }[/tex]
[tex]\sf{ Length = 31 }[/tex]
[tex]\sf{\pink{ Hence, \: Length\: and \:breath \:are\: 13 \:and\: 31 \: feet}}[/tex]
Correct Question:-
The length is 5more than twice the width.
Solution:-
- Let width be x
- Length be 2x+5
ATQ
[tex]\\ \tt\hookrightarrow 2(L+B)=88[/tex]
[tex]\\ \tt\hookrightarrow 2(x+2x+5)=88[/tex]
[tex]\\ \tt\hookrightarrow 2(3x+5)=88[/tex]
[tex]\\ \tt\hookrightarrow 6x+10=88[/tex]
[tex]\\ \tt\hookrightarrow 6x=78[/tex]
[tex]\\ \tt\hookrightarrow x=13[/tex]
- Width=13
- Length=2(13)+5=31
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.
