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Trapezoid area with sides 79,114,123,108 equal to 9953.975

Trapezoid area calculation method
Base a: Base b: Side c: Side d:

Trapezoid

A trapezoid is a quadrilateral whose two sides are parallel (bases) and the other two are not parallel (sides).
Trapezoid area formula Trapezoid area formula By the lengths of all sides and bases where a and b are the bases, c and d are the sides

Solution:
S =
a+b
2
·
c2 - (
(b-a)2+c2-d2
2·(b-a)
)2
=
79+114
2
·
1232 - (
(114-79)2+1232-1082
2·(114-79)
)2
=
193
2
·
1232 - (
352+1232-1082
2·35
)2
=
193
2
·
15129 - (
1225+15129-11664
70
)2
= 96.5
·
15129 - (
4690
70
)2
= 96.5
·
15129 - 672
= 96.5
·
15129 - 4489
= 96.5
·
10640
= 96.5
·
103.15
=
9953.975

Answer: trapezoid area with sides 79,114,123,108 equal to 9953.975