What is the area of this trapezoid? 108 in² 139.5 in² 166 in² 171 in² Trapezoid A B C D with parallel sides D C and A B. Point F and E are on side D C. Point F is connected to point A by a dotted segment. Point E is connected to point B by a dotted segment. A B E F is a rectangle. D F is 2 inches. E C is 5 inches. E B is 9 inches. A B is 12 inches.

Respuesta :

Answer:

139.5 in²

Step-by-step explanation:

[tex]We~will~have~to~use~the~formula~to~find~the~area~of~a~trapezium.[/tex]

Formula to find the area of a trapezium:

→ [tex]Area=\frac{1}{2}[/tex] × [tex]Sum ~of~ parallel ~sides[/tex] × [tex]Distance~between~them[/tex]

[tex]Area=\frac{1}{2}[/tex] × [tex](12+19)[/tex] × [tex]9[/tex]

[tex]Area=\frac{1}{2}[/tex]  × [tex](31)[/tex] × [tex]9[/tex]

[tex]Area=15.9[/tex]  × [tex]9[/tex]

[tex]Area=139.5~in[/tex]²

Answer:

139.5 in²

Step-by-step explanation:

3.10 Quiz .^.

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