Respuesta :

Solution:

Note that:

  • Formula to find the area of trapezoid: {(a₁ + a₂)/2} x h

Substitute the values into the formula to find the area of the trapezoid.

  • {(a₁ + a₂)/2} x h
  • => {(11 + 35)/2} x 14
  • => {(46)/2} x 14
  • => {46/2} x 14
  • => 23 x 14
  • => 322 ft²

The area of the trapezoid shown is 322 ft².

Answer:

322 ft²

Step-by-step explanation:

Hi there!

We are given a trapezoid, and want to find the area of it.

We are given that the bases (the parallel sides) are labeled as 11 ft and 35 ft, and that the height (the dotted line in the picture) is 14 ft

The formula for the area of a trapezoid is [tex]\frac{a+b}{2} * h[/tex], where a and b are the bases, while h is the height.

We already know everything we need to find the area, but let's label the values of the given to avoid confusion.

a=11

b=35

c=14

Now substitute into the formula
A=[tex]\frac{a+b}{2} * h[/tex]

A=[tex]\frac{11+35}{2} * 14[/tex]

A=[tex]\frac{46}{2} * 14[/tex]

A=23*14

A=322
The answer is 322 ft²
Hope this helps!

See more on finding the area of a trapezoid here: https://brainly.com/question/22281585