Question

of quadratic equation.
A. The Mathematics Club teamed up with the Science club to
garden that share a side for schools Go Green campaign, as shown. The garden will
use 51m of fencing materials. Each garden has an area of 54m2.

2. How will you represent the sides of the biggest rectangle?

​

Answer 1

Given : The garden will use 51m of fencing materials. Each garden has an area of 54m²

To Find : Size

Solution:

Fencing Material = 51 m

Area = 54 m²

Length = L

Breadth = B

2(L + B) = 51

 LB = 54

=> 2(L  + 54/L)   = 51

=> 2(L²  + 54) = 51L

=> 2L²  - 51L  + 108  =  0

=> L = 23.17 ,   2.33

another Case  : Integral Side

L                B               Perimeter

54              1                  110

27               2                 58

18                3                 42

9                 6                 39

Fencing material available  = 51 m

18                3  

Hence one of the sides of the biggest rectangular garden  =  18 m

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