Respuesta :
Answer:
17 feet
Step-by-step explanation:
Area of Trapezoid is given by:
[tex]A = \frac{a+b}{2}\times h[/tex]
Where, a and b are two bases, h is the height.
Given:
a = 11 feet
h = 8 feet
A = 112 square feet
b= ?
⇒[tex]112=\frac{11+b}{2}\times 8\\ \Rightarrow 112=4 (11+b)=44+4b\\ \Rightarrow 4b = 68 \Rightarrow b = 17[/tex]
Thus, the length of the other base would be 17 feet.
The length of the other base of the trapezoid is 17 ft.
Trapezoid
Trapezoid as a quadrilateral (has four sides and four angles having only one pair of parallel sides.
The area (A) of a trapezoid is given by:
- Area(A) = (1/2)(a + b)h
Where h is the height, a, b are the parallel sides.
Given that:
- A= 112 ft², h = 8 ft., a = 11 ft.
Hence:
112 = (1/2)(11 + b)(8)
11 + b = 28
b = 17 ft.
The length of the other base of the trapezoid is 17 ft.
Find out more on trapezoid at: https://brainly.com/question/1463152