Railway embankment

The section of the railway embankment is an isosceles trapezoid, the sizes of the bases of which are in the ratio 5: 3. The arms have a length of 5 m and the height of the embankment is 4.8 m. Calculates the size of the embankment section area.

Correct result:

S =  26.88 m2

Solution:

3a=5c r=5 m h=4.8 m  x=r2h2=524.82=75=1.4 m    3 a=5 c a=c+2 x 3 a=5 c a=c+2 1.4  3a5c=0 ac=2.8  a=7 c=215=4.2  S=h (a+c)/2=4.8 (7+4.2)/2=67225=67225 m2=26.88 m2



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