ORFind the dimensions of a rectangular park whose perimeter is 60 m an

1.	ORFind the dimensions of a rectangular park whose perimeter is 60 m andarea 200 m
Answer» Let the length of Reactangle be lLet the breadth of Reactangle be b Perimeter of Reactangle= l + b60 = 2(l + b)l + b = 30...........(1) Area of Reactangle= lb200 = lbl = 200/b............ (2) Put value of l in eq(1), we get200/b + b = 30b^2 - 30b + 200 = 0b^2 - 20b - 10b + 200 = 0b(b - 20) - 10(b - 20) = 0(b - 10)(b - 20) = 0b = 10, 20 If breadth = 10 m, length = 20 mIf breadth = 20 m, length = 10 m thanks

ORFind the dimensions of a rectangular park whose perimeter is 60 m andarea 200 m

Answer»

Let the length of Reactangle be lLet the breadth of Reactangle be b

Perimeter of Reactangle= l + b60 = 2(l + b)l + b = 30...........(1)

Area of Reactangle= l*b200 = l*bl = 200/b............ (2)

Put value of l in eq(1), we get200/b + b = 30b^2 - 30b + 200 = 0b^2 - 20b - 10b + 200 = 0b(b - 20) - 10(b - 20) = 0(b - 10)(b - 20) = 0b = 10, 20

If breadth = 10 m, length = 20 mIf breadth = 20 m, length = 10 m

thanks