Question

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.

Answer 1

Answer:

139.5 in²

Step-by-step explanation:

$We~will~have~to~use~the~formula~to~find~the~area~of~a~trapezium.$

Formula to find the area of a trapezium:

→ $Area=\frac{1}{2}$ × $Sum ~of~ parallel ~sides$ × $Distance~between~them$

$Area=\frac{1}{2}$ × $(12+19)$ × $9$

$Area=\frac{1}{2}$  × $(31)$ × $9$

$Area=15.9$  × $9$

$Area=139.5~in$²