Railway embankment

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

Correct answer:

S =  26.88 m2

Step-by-step explanation:

3a = 5c r=5 m h=4.8 m  x=r2h2=524.82=57=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  Row231 Row1Row2 3a5c=0 0.67c=2.8  c=0.666666672.8=4.2 a=30+5c=30+5 4.2=7  a=7 c=521=4.2  S=h (a+c)/2=4.8 (7+4.2)/2=26.88 m2

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