Rectangular garden 2

A farmer bought 600 m of wire for the fence. He wants to use it to besiege a rectangular garden with a surface of 16875 m2. Calculate the size of the garden.

Correct answer:

a =  225 m
b =  75 m

Step-by-step explanation:

o=600 m S=16875 m2  S=ab o=2(a+b)=2a+2b  16875=a(600/2a)  16875=a (600/2a) a2300a+16875=0  p=1;q=300;r=16875 D=q24pr=30024116875=22500 D>0  a1,2=2pq±D=2300±22500 a1,2=2300±150 a1,2=150±75 a1=225 a2=75   Factored form of the equation:  (a225)(a75)=0  a=a1=225=225 m

Our quadratic equation calculator calculates it.

b=o/2a=600/2225=75 b=a2=75 m

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