Question

perimeter and area of a flower bed are 76 Meter and 357 square metre respectively find the length and breadth of the flower bed quadratic equation.

Answer 1

Let the length of flower bed be a

And the width of flower bed be b

Perimeter = 2 ( a + b)

=> 76 = 2 ( a + b)

=> a + b = 38

=> a = 38 - b -------(1)

Now,

Area = 357

=> a × b = 357

=> ( 38 - b) (b) = 357

=> 38b - b^2 = 357

=> b^2 - 38b + 357 = 0

This is the required quadratic equation.

Answer 2

Your answer !!

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Let length of flower bed be a

and width of flower bed be b

Perimeter = 2 ( a + b )

76 = 2 ( a + b )

38 = a + b

b = 38 - a

Area = a ( b ) = 357

( a ) ( 38 - a ) = 357

38a - a^2 = 357

-a^2 + 38a - 357 = 0

Required equation !!

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