Question

Expand the following sin(3x+2y)​

Answer 1

Answer:

{\large{\bold{\sf{\underline{Understanding \: \: The \: \: Question}}}}}

UnderstandingTheQuestion

➨ This question says that the rectangular playground has length as 25 metres and 15 metres as breadth. A path of 3 metres width ( breadth ) is all around inside it along the border. We have to find the area of that path.

{\large{\bold{\sf{\underline{Given \; that}}}}}

Giventhat

➨ Length of rectangular playground = 25 metres.

➨ Breadth of rectangular playground = 15 metres.

➨ Path of 3 metres in breadth is all around inside it along the border.

{\large{\bold{\sf{\underline{To \; find}}}}}

Tofind

➨ Area of path.

{\large{\bold{\sf{\underline{Solution}}}}}

Solution

➨ Area of path = 276 m²

{\large{\bold{\sf{\underline{Using \; concepts}}}}}

Using concepts

➨ Area of rectangle formula.

{\large{\bold{\sf{\underline{Using \; formulas}}}}}

Using formulas

➨ Area of rectangle = Length × Breadth

{\large{\bold{\sf{\underline{We \; also \; write \; these \; as}}}}}

We also write these as

➨ Length as L

➨ Breadth as B

➨ Area as A

{\large{\bold{\sf{\underline{Full \; Solution}}}}}

full solution

{ \color{blue}{ ~Let \: \: us \: \: find \: \: area \: \: of \: \: that \: \: rectangular \: \: playground \: \: firstly}} Let us find area of that rectangular play grey

′

➸ Area of rectangular playground = Length × Breadth

➸ Area of rectangular playground = (25 × 15) metres

➸ Area of rectangular playground = 375 m²

{ \color{green}{~ Now \: \: let's \: \: find \: \: area \: \: of \: \: that \: \: playground \: \: including \: \: border \: \: and \: inside \: \: area}} Now let

′

sundarsath aapkay ground including border andon side area

➸ Length = ( 25 + 3 + 3 ) m = 31 m

➸ Breadth = ( 15 + 3 + 3 ) m = 21 m

➸ Area = Length × Breadth

➸ Area of = ( 31 × 21 ) metres

➸ Area = 651 m²

{ \color{red}{~ Now \: at \: last \: let \: us \: find \: area \: of \: path}} Now at last let us find area of path

➸ Area of path = Area of playground including border and inside area - rectangular playground area

➸ Area of path = ( 651 - 375 ) m²

➸ Area of path = 276 m²

( Diagram of this question is in attachment )

{\large{\bold{\sf{\underline{Knowledge}}}}}

Knowledge

Perimeter of rectangle formula = 2(length + breadth)

Area of rectangle formula = Length × Breadth.

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