ehe12 A rectangular park is to be designed whose breadth is 3 mllength. Its area is to be 4 square metres more than the area of a park that hasbeen made in the shape of an isosceles triangle with its base as the breadthrectangular park and of altitude 12 m (see Fig. 4.3). Find its length and breadtalnn Let the breadth of the rectangular park be x m.

ehe12 A rectangular park is to be designed whose breadth is 3 mllength

1.	ehe12 A rectangular park is to be designed whose breadth is 3 mllength. Its area is to be 4 square metres more than the area of a park that hasbeen made in the shape of an isosceles triangle with its base as the breadthrectangular park and of altitude 12 m (see Fig. 4.3). Find its length and breadtalnn Let the breadth of the rectangular park be x m.
Answer» Let the length be ltherefore breadth=l-3area=l(l-3)the area of isosceles triangle = 1/2×(l-3)126(l-3)given:l(l-3)-4=6(l-3)l²-3l-4=6l-18l²-9l+14=0l²-2l-7l+14l=0l(l-7)-2(l-7)=0(l-2)(l-7)=0l=7or 2and the breadth is 4since breath cannnot be negative.