Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
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 hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.
