Question

a rectangular playground is 25 m long and 15m briad .A path of 3 m width all around inside it along the border .Find the area of the path

Answer 1

Answer:

Step-by-step explanation: area of playground(without path)= lxb= 25x15=$375^{2}$

length of playground with path= 25-6=19

breadth of playground with path=15-6=9

Area of inner playground(inside the path)= lxb=19x9=$171^{2}$

Answer 2

Step-by-step explanation:

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}}}}}

Usingconcepts

➨ Area of rectangle formula.

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

Usingformulas

➨ Area of rectangle = Length × Breadth

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

Wealsowritetheseas

➨ Length as L

➨ Breadth as B

➨ Area as A

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

FullSolution

~ Let us find area of that rectangular playground firstly'

➸ Area of rectangular playground = Length × Breadth

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

➸ Area of rectangular playground = 375 m²

~ Now let's find area of that playground including border and inside 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

~ 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