Question

What is the area of the trapezoid? If necessary, round your answer to the nearest tenth.

A trapezoid with bottom side length of 8.5 feet, top side length of 5.5 feet, and height of 6.5 feet.
35.8 feet squared
45.5 feet squared
46.8 feet squared

Answer 1

The area of the trapezoid is calculated as 45.5 feet squared.

What does Area of Trapezoid mean?

The entire area occupied by the sides of a trapezoid is its area. It's important to notice that if we know the lengths of all the sides, we can divide the trapezoid into smaller polygons, such as triangles and rectangles, calculate their areas, and then sum them all together to determine the area of the trapezoid.

The formula for Trapezoid Area:

If the parallel sides of the trapezoid are known, along with their height, it is possible to determine their area. It is expressed as,

A=$1/2$(a+b) h

where, A= the area of the trapezoid

h= height

'a' & 'b' = parallel side bases

Solution:

a=5.5 feet , b= 8.5 feet & h=6.5 feet

A=$1/2$(a+b)h

∴A=$1/2$(5.5+8.5)*6.5

⇒A=$1/2$(14)*6.5

⇒A=7*6.5

⇒A=45.5 feet squared

Therefore, the solution is  (b) 45.5 feet squared.

Learn more about Trapezoid:

https://brainly.com/question/12451654?referrer=searchResults

#SPJ10