Railway embankment

The railway embankment section 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 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  a=7 c=521=4.2  S=h (a+c)/2=4.8 (7+4.2)/2=26.88 m2

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