A field

A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and the non parallel sides are 14 m and 13 m. Find the area of the field.

Correct answer:

A =  196 m2

Step-by-step explanation:

a=25 m c=10 m b=14 m d=13 m  b2 = h2 + x2 d2 = h2 + (a−c−x)2  b2−x2=d2−(a−c−x)2 142−x2=132−(25−10−x)2  30x=252  x=30252​=8.4  x=542​=8.4  h=b2−x2​=142−8.42​=556​=11.2 m  A=2a+c​⋅ h=225+10​⋅ 11.2=196 m2

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