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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.

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 $\times $ Width , So

**Area of rectangular park = ( ab + bc ) ( ab - bc ) = ( a**

^{2}b^{2}- b^{2}c^{2}) m^{2}( Ans )And

We know area of square = ( Side )

^{2}, So

**Area of rectangular park = ( 2x + 3y )**

^{2}= ( 4 x^{2}+ 9 y^{2}+ 12 x y ) m^{2}( Ans )Hope this information will clear your doubts about topic.

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