Question

The length and width of a rectangle are ( 2x -5) and ( 3 x +4) What is the Perimeter?

Answer 1

`\fbox{ \sf{Perimeter \: of \: a \: rectangle = 10x - 2}}`

Explanation:

`\star{ \sf{ \: \: Length \: of \: a \: rectangle ( l ) = (2x - 5) }}`

`\star{ \sf{ \: Width \: of \: a \: rectangle ( w ) = (3x + 4)}}`

`\star{ \sf{ \: \: Perimeter \: of \: a \: rectangle = ?}}`

`\boxed{ \bold{ \sf{Perimeter \: of \: a \: rectangle = 2(l + w)}}}`

`\hookrightarrow{ \sf{Perimeter \: of \: a \: rectangle = 2(2x - 5 + 3x + 4)}}`

`\text{Step \: 1 : \: Collect \: like \: term}`

`\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base}`

`\hookrightarrow{ \sf{2(2x + 3x - 5 + 4)}}`

`\hookrightarrow{ \sf{2(5x - 5 + 4)}}`

`\text{Step \: 2 \: : \: Subtract \: 4 \: from \: 5}`

`\hookrightarrow{ \sf{2(5x - 1)}}`

`\text{Step \: 3 \: : \: Distribute \: 2 \: through \: the \: parentheses}`

`\hookrightarrow{ \sf{2 * 5x - 2 * 1}}`

`\hookrightarrow{ \sf{10x - 2}}`

`\sf{∴ \: The \: perimeter \: of \: a \: rectangle = 10x - 2}`

`\text{Hope \: I \: helped !}`

`\text{Best \: regards ! }`

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`\text{TheAnimeGirl}`