Question

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

Answer 1

Answer:

This is not possible.

Step-by-step explanation:

area =400 m2

Perimeter = 80 mm

now, L +B =8O m

• L =80-B.............I

again, L*B =400 m2

• (80-B)*B =400
• 80B-Bsquare =400
• B2 -80B +400 =0
• B2 - 40B -40B +400=0
• B(B- 40) - 40 (B-10)=0

Here this cant be solved.

Answer 2

Answer:

let the length be x

and breadth be y

given perimeter = 2(x + y) = 80

so,x + y = 40

so, y = 40-x

therefore , the length is x and breadth is 40-x

given area = 400m^2

length * breadth = 400m^2

ie, x(40-x)=400

ie, x^2- 40x + 400

apply quadratic formula

we get X = 20 , 20

therefore length = 20

breadth=20

hope it helps!!