Question

The perimeter of the rectangle is 88 the etive more than twice width find the length and the width

Answer 1

Correct Question:-

The length is 5more than twice the width.

Solution:-

• Let width be x
• Length be 2x+5

ATQ

`\\ \tt\hookrightarrow 2(L+B)=88`

`\\ \tt\hookrightarrow 2(x+2x+5)=88`

`\\ \tt\hookrightarrow 2(3x+5)=88`

`\\ \tt\hookrightarrow 6x+10=88`

`\\ \tt\hookrightarrow 6x=78`

`\\ \tt\hookrightarrow x=13`

• Width=13
• Length=2(13)+5=31

Answer 2

`\bold{\boxed{\huge{\blue{\underline{Answer }}}}}`

`\bold{\underline{Given :- }}`

`\sf{The \: perimeter\:of\:the\:rectangle = 88}`

`\sf{The \: length \: is\: 5 \:more \:than \: 2 × width }`

`\bold{\underline{To \: Find :- }}`

• We have to find the length and breath of the rectangle .

`\bold{\underline{Let's \:Begin :- }}`

`\sf{ Let\: the\: breath \:be \: x }`

`\sf{\underline{ We\: know\: that, }}`

`\sf{\red{ Perimeter\: of \: rectangle = 2( L + W)}}`

`\sf{\underline{ According\: to\: the \:question }}`

`\sf{The \: length \: is \: 5 \:more \:than \: 2 × width }`

`\sf{\underline{That \:is }}`

`\sf{ Length = 2x + 5 }`

`\sf{\underline{Subsitute the \:required \:values }}`

`\sf{ Perimeter \:of\: rectangle = 2( L + W) }`

`\sf{ 88 = 2( 2x + 5 + x) }`

`\sf{ 88 = 4x + 10 + 2x }`

`\sf{ 88 = 6x + 10 }`

`\sf{ 88 - 10 = 6x }`

`\sf{ 78 = 6x }`

`\sf{ x = 78/6 }`

`\sf{ x = 13 }`

`\sf{ Thus,\: the \:width \:is \:13\: feet }`

`\bold{\underline{ Now }}`

`\sf{ Length = 2x + 5 }`

`\sf{ Length = 2(13) + 5 }`

`\sf{ Length = 26 + 5 }`

`\sf{ Length = 31 }`

`\sf{\pink{ Hence, \: Length\: and \:breath \:are\: 13 \:and\: 31 \: feet}}`