Question

5.[–/1 Points]DETAILSALEXGEOM7 8.2.013.MY NOTESASK YOUR TEACHERFind the area in square feet of trapezoid ABCD with AB ≅ DC. 8 ft4 ft14 ftTrapezoid A B C D contains four labeled vertices and a dashed line segment.•The left side starts at vertex A, goes down and to the left and ends at vertex B.•The bottom side is horizontal, starts at vertex B on the left and ends at vertex C on the right. It is labeled 14 ft.•The right side starts at vertex C, goes up and to the left and ends at vertex D.•The top side is horizontal, starts at vertex D on the right and ends at vertex A on the left. It is labeled 8 ft.•A dashed line segment goes down vertically from vertex A and meets side B C at a right angle. It is labeled 4 ft. ft2

Answer 1

Okay, here we have this:

Considering the provided figure and measures, we are going to calculate the requested area so we obtain the following:

Then we will use the formula for the area of a trapezoid, so we have:

Area=1/2(base 1+base 2)*height

Replacing:

Area=1/2(base 1+base 2)*height

Area=1/2(14ft +8 ft)*4ft

Area=1/2(22 ft)*4ft

Area=(11 ft)*4ft

Area=44 ft^2

Finally we obtain that the area of the trapezoid ABCD is 44 ft^2.