Garden

The garden has a rectangular shape, a circumference of 130 m, and an area of 800.25 m2. Calculate the dimensions of the garden.

Correct answer:

a =  48.5 m
b =  16.5 m

Step-by-step explanation:

o=130 m S=800.25  2a+2b = o ab = S  a (o2a)/2=S  a (1302a)/2=800.25 a2+65a800.25=0 a265a+800.25=0  p=1;q=65;r=800.25 D=q24pr=65241800.25=1024 D>0  a1,2=2pq±D=265±1024 a1,2=265±32 a1,2=32.5±16 a1=48.5 a2=16.5  a=a1=48.5=48.5 m

Our quadratic equation calculator calculates it.

b=a2=16.5=233   Verifying Solution:   S2=a b=48.5 16.5=43201=800.25 m2 o2=2 (a+b)=2 (48.5+16.5)=130 m  b=a2=16.5=16.5 m



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