Answer:
The area of the trapezoid is 16 feet² ⇒ 2nd answered
Step-by-step explanation:
ABCD is a trapezoid where
∵ ABCD is a trapezoid
∵ AD // BC
∴ AD and BC are the bases of the trapezoid
∵ ∠BEF is a right angle
∵ ∠CFE is a right angle
∵ E and F are on the side AD
∴ BE and CF are perpendicular to AD
∴ BE and CF are the heights of the trapezoid ABCD
The formula of the area of a trapezoid is [tex]A=\frac{1}{2}(b_{1}+b_{2})h[/tex] , where
[tex]b_{1}[/tex] and [tex]b_{2}[/tex] are its parallel sides and h is its height
∵ AD and BC are the bases of the trapezoid
∵ AD = 5 feet and BC = 3 feet
∴ [tex]b_{1}[/tex] = 5 and [tex]b_{2}[/tex] = 3
∵ CF is the height of the trapezoid
∵ CF = 4 feet
∴ h = 4
- Substitute all of these values in the formula of the area
∴ [tex]A=\frac{1}{2}(5+3)(4)[/tex]
∴ A = 16 feet²
The area of the trapezoid is 16 feet²
