Find the area of rectangular mat length = 3 {}^(x - y) bredth = 3 {}^(y - x) ​

Question

Find the area of rectangular mat length =


`3 {}^(x - y)`
bredth =

`3 {}^(y - x)`


​

Answer 1

Solution :-

• Length of rectangle is =
  `\sf 3 {}^(x - y)`
• Breadth of rectangle is =
  `\sf 3 {}^(y - x)`
• Area =?

We know that-

`\small \underline{ \boxed{ \sf{ \frak{Area_((rectangle )) = \frak{( Length * Breadth )\:sq.units}}}}}`

On substituting the values-

`\longmapsto \sf Area_((rectangle )) =3^(x-y)* 3^(y-x) \\`

`\longmapsto \sf Area_((rectangle )) = 3^(x-y+y-x)\\`

`\longmapsto \sf Area_((rectangle )) =3^{\cancel{ x}-\cancel{y}+\cancel{y}-\cancel{x}}\\`

`\longmapsto \sf Area_((rectangle )) = 3^0\\`

`\longmapsto \sf Area_((rectangle )) = 1\\`

`\longmapsto \boxed{ \tt{ \pmb{ \red{Area_((rectangle )) = 1 \: sq.units}}}}`

`\\ \therefore \underline{ \cal{ \pmb{The \:area \: of \:the \: rectangle \: is \: \frak{\purple{1\: sq.units }. }}}}`