Answer: " 94. 6 ft² ".
_____________________
Explanation:
The formula for the area of a trapezoid:
______________________
A = (1/2) * (b1 + b2) * (perpendicular height, "h" ) ;
in which:
______________________
"A = area (in units of ft²) "
"b1 = length of (base one) = 7.7 ft (from diagram) ;
"b2 = length of (base two—the other base) = 14.3 ft. ;
"h = height (perpendicular) = 8.6 ft.
_______________________
To solve for the Area, "A" ; we plug in the known values:
_______________________
A = (1/2) * (b1 + b2) * (perpendicular height, "h" );
= (1/2) * (7.7 ft + 14.3 ft) * (8.6 ft) ;
= (1/2) * (22 ft.) * (8.6 ft) ;
= (11 ft.) * (8.6 ft.) ;
= (11) * (8.6) * (ft.) * (ft.) ;
= (11) * (8.6) * ft² ;
A = " 94. 6 ft² ".
_______________________
Hope this is helpful to you!
Best wishes!
________________________