Question

A rectangular park is to be designed whose breadth is 3 m less than its length. Its area is to 4 square meters more than the area of a park that has already been made in the shapeof an isosceles triangle with its base as the breadth of rectangular park and of altitude12 m. Find the perimeter of the rectangular park.

Answer 1

let the length be l
therefore breadth=l-3
area=l(l-3)
the area of isosceles triangle = 1/2×(l-3)12
6(l-3)
given:l(l-3)-4=6(l-3)
l²-3l-4=6l-18
l²-9l+14=0
l²-2l-7l+14l=0
l(l-7)-2(l-7)=0
(l-2)(l-7)=0
l=7or 2
and the breadth is 4
since breath cannnot be negative.

Answer 2

Heya, find the answer in the attached image.

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