Question

Shannon is building a rectangular garden that is 18 feet wide and 27 feet long shannon is putting a fence around the garden, except where there is a gate that is 3 feet wide

Answer 1

AnswEr :

• Length of Garden = 27 feet
• Breadth of Garden = 18 feet

• Perimeter of the Rectangluar Garden :

↠ Perimeter = 2(Length + Breadth)

↠ Perimeter = 2(27 feet + 18 feet)

↠ Perimeter = 2(45 feet)

↠ Perimeter = 90 feet

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• Length to the Be Fenced :

↠ Fencing Length = Perimeter – Gate

↠ Fencing Length = 90 feet – 3 feet

↠ Fencing Length = 87 feet

∴ Shannon will fence 87 feet of boundary.

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• IMPORTANT⠀FORMULAE :

◗ Rectangle :

･ Area = (Length × Breadth) unit²

･ Perimeter = 2(Length + Breadth) unit

◗ Square :

･ Area = ( Side )² unit²

･ Perimeter = 4(Side) unit

◗ Circle :

･ Area = πr² unit²

･ Circumference = 2πr unit

Answer 2

Answer:

$\huge{\boxed{\mathfrak{Answer=87\:feet}}}$

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$\bold{Given\:that,}$

• Length of garden=27 feet
• Width of garden = 18 feet
• Width of gate = 3 feet

$\bold{As\:the\:garden\:is\:being\: fenced,}\\ \bold{so\:we\: need \:to \:find \:out \:the\: <strong>perimeter</strong><strong>}</strong><strong>\</strong><strong>\</strong><strong> </strong><strong>\</strong><strong>b</strong><strong>o</strong><strong>l</strong><strong>d</strong><strong>{</strong><strong>of</strong><strong> </strong><strong>\</strong><strong>:</strong><strong>g</strong><strong>a</strong><strong>r</strong><strong>d</strong><strong>e</strong><strong>n</strong><strong>\</strong><strong>:</strong><strong>except</strong><strong>\</strong><strong>:</strong><strong> </strong><strong>the</strong><strong> </strong><strong>\</strong><strong>:</strong><strong>gate</strong><strong>.</strong><strong>}</strong><strong>\</strong><strong>\</strong><strong> </strong><strong>\</strong><strong>\</strong><strong> </strong>\bold{Perimeter = 2(Length + Width)} \\ \\ \bold{\rightarrow{Perimeter=2(27+18)\:feet}} \\ \\ \bold{\rightarrow {Perimeter = (2 \times 45)\:feet}} \\ \\ \bold{\rightarrow{Perimeter = 90 \:feet}}\\ \\ \bold{Now \:width\: of\: gate = <strong>3</strong><strong> </strong><strong>\</strong><strong>:</strong><strong>feet</strong><strong>.</strong><strong>}</strong><strong>\</strong><strong>\</strong><strong> </strong><strong>\</strong><strong>b</strong><strong>o</strong><strong>l</strong><strong>d</strong><strong> </strong>{So, length\:to\:be\: fenced:-}$

$\bold {Length \:to \:be \:fenced=Perimeter - Width} \\ \\ \bold{\rightarrow{Length\:to \:be\:fenced= (90 - 3)\:feet }} \\ \\ \bold{\rightarrow{Length \:to \:be\:fenced=87 \: feet}}$

$\therefore\bold{\underline{Length\:to \:be \: fenced = 87\:feet}}$