A rectangular playground 25m long and 15 board. A path of 3 width is all around inside it along the border. find the area of path.
Answers
since the path is 3 m width then the area of the small rec .= (25-3)×(15-3)=22×12=264 sq m
therefore the area of the path will be area of the req playground - area of the small rec .= 375sq m -264sq.m =111sq m
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