Question

Is it possible to design a rectangular park of perimeter 80 m and area 400 m²? If so, find the length and breadth.

Answer 1

HELLO DEAR,

let the length be x

given that:-

perimeter=80m

2(length + breadth) =80

(length + breadth)=80/2 = 40

(x+breadth)=40

breadth= (40-x )---------(1)

also area is given that:-

AREA=400m²

langth × breadth=400

x (40-x) = 400 ---------using (1)

40x -x²=400

x²-40x +400=0

where,

a=1

b= -40

c=400

let check Quadratic Equation are possible or not

we know that:-

d=b²-4ac

=> (-40)²-(4(1)(400)

=>1600-1600 =0

d=0

then its real roots

hence it is possible to design the rectangular park

x²-20x-20x+400=0

x(x-20)-20(x-20)

(x-20)(x-20)=0

x=20. or x=20

THEN the

length=20m

and

breadth= (40-20 )=20m

I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

Step-by-step explanation:

hope it's helpful to you this attachment....

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