Garden exchange

The garden has the shape of a rectangular trapezoid, the bases of which have dimensions of 60 m and 30 m and a vertical arm of 40 m. The owner exchanged this garden for a parallelogram, the area of which is 7/9 of the area of a trapezoidal garden. What is the size of the new garden in ares?

Correct result:

S2 =  14 a

Solution:

a=60 m c=30 m d=40 m  S1=a+c2 d=60+302 40=1800 m2 S3=79 S1=79 1800=1400 m2  S2=S3 a=S3/100  a=1400/100  a=14 a



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