Shikha and Neetu are friends. They both are very health conscious. They jog daily in the morning. Shikha jogs around a rectangular park of dimensions (ab +bc) m and (ab-bc)m. Neetu jogs around a square park of side (2x+3y)m.
i) How much distance will Shikha cover in 5 rounds?
ii) How much distance will Neetu cover in 1 round?
iii) Find the area of each park.
Dear Student,
Please find below the solution to the asked query:
Given : Shikha jogs around a rectangular park of dimensions ( ab + bc ) m and ( ab - bc ) m .
And
Neetu jogs around a square park of side ( 2x + 3y ) m .
i ) We know perimeter of rectangle = 2 ( Length + Width ) , So
Distance travel in one round of that rectangular park = 2 ( ab + bc + ab - bc ) = 2 ( 2 a b ) = 4 ab m
Therefore ,
Distance travel in 5 round of that rectangular park = 5 ( 4 ab ) = 20 ab m ( Ans )
ii ) We know perimeter of square = 4 ( Side ) , So
Distance travel in one round of that square park = 4 ( 2x + 3y ) = ( 8 x + 12 y ) m ( Ans )
iii ) We know area of rectangle = Length Width , So
Area of rectangular park = ( ab + bc ) ( ab - bc ) = ( a2 b2 - b2 c2 ) m2 ( Ans )
And
We know area of square = ( Side )2 , So
Area of rectangular park = ( 2x + 3y )2= ( 4 x2 + 9 y2 + 12 x y ) m2 ( Ans )
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards
Please find below the solution to the asked query:
Given : Shikha jogs around a rectangular park of dimensions ( ab + bc ) m and ( ab - bc ) m .
And
Neetu jogs around a square park of side ( 2x + 3y ) m .
i ) We know perimeter of rectangle = 2 ( Length + Width ) , So
Distance travel in one round of that rectangular park = 2 ( ab + bc + ab - bc ) = 2 ( 2 a b ) = 4 ab m
Therefore ,
Distance travel in 5 round of that rectangular park = 5 ( 4 ab ) = 20 ab m ( Ans )
ii ) We know perimeter of square = 4 ( Side ) , So
Distance travel in one round of that square park = 4 ( 2x + 3y ) = ( 8 x + 12 y ) m ( Ans )
iii ) We know area of rectangle = Length Width , So
Area of rectangular park = ( ab + bc ) ( ab - bc ) = ( a2 b2 - b2 c2 ) m2 ( Ans )
And
We know area of square = ( Side )2 , So
Area of rectangular park = ( 2x + 3y )2= ( 4 x2 + 9 y2 + 12 x y ) m2 ( Ans )
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards