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