A rectangular park is to be designed whose breadth is 3 m less than its length. Its area is to be 4 square metres more than the area of a park that has already been made in the shape of an isosceles triangle with its base as the breadth of the rectangular park and of its altitude 12 m. Find length and breath of the rectangular park .

Explanation

let length be `x ` m

let breadth be `(x-3) ` m

`/_ ABC ` has base = `(x-3) `m

altitude `= 12m`

area `(/_ABC = 1/2 xx (x-3) xx 12`

`= 6 (x-3) m^2`

area od DEBC`= x xx (x-3)`

`= x^2 - 3x m^2`

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