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# Trapezoid area with sides 0.1,3,4.83,5.57 equal to 7.483

Answer: trapezoid area with sides 0.1,3,4.83,5.57 equal to 7.483

A trapezoid is a quadrilateral whose two sides are parallel (bases) and the other two are not parallel (sides).

Trapezoid area formula
where a and b are the bases, c and d are the sides

Solution:

S =

a+b

2

·

√c^{2} - ()^{2}

(b-a)^{2}+c^{2}-d^{2}

2·(b-a)

=

0.1+3

2

·

√4.83^{2} - ()^{2}

(3-0.1)^{2}+4.83^{2}-5.57^{2}

2·(3-0.1)

=

3.1

2

·

√4.83^{2} - ()^{2}

2.9^{2}+4.83^{2}-5.57^{2}

2·2.9

=

3.1

2

·

√23.3289 - ()^{2}

8.41+23.3289-31.0249

5.8

= 1.55

·

√23.3289 - ()^{2}

0.714

5.8

= 1.55

·

√23.3289 - 0.123^{2}

= 1.55

·

√23.3289 - 0.015129

= 1.55

·

√23.313771

= 1.55

·

4.828

=

7.483

Answer: trapezoid area with sides 0.1,3,4.83,5.57 equal to 7.483