Gardens

The area of the square garden is 3/4 of the area of the triangular garden with sides of 80 m, 50 m, 50 m. How many meters of the fence do we need to fence a square garden?

Correct result:

x =  120 m

Solution:

a=80 m b=50 m c=50 m  b=c h2=b2(a/2)2  h=b2(a/2)2=502(80/2)2=30 m  S1=a h2=80 302=1200 m2  S2=34 S1=34 1200=900 m2  S2=y2  y=S2=900=30 m  x=4 y=4 30=120=120 m   Verifying Solution:  s=(a+b+c)/2=(80+50+50)/2=90 m S3=s (sa) (sb) (sc)=90 (9080) (9050) (9050)=1200 m2 S3=S1

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