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 55.3 feet squared

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Answer:

45.5 sq. feet

Step-by-step explanation:

Area of trapezoid is given by 1/2(sum of parallel sides) * height of trapezoid.

In the problem

Parallel sides are  bottom and top sides with  length of 8.5 feet and 5.5 feet

Thus sum of Parallel sides =  8.5 feet + 5.5 feet = 14 feet

Height =  6.5 feet.

Thus,

area of  trapezoid = 1/2*(14)* 6.5 feet = 7*6.5 feet = 45.5 sq. feet

The area of the trapezoid is whose sides are 8.5 feet and 5.5 feet with a height of 6.5 feet is 45.5 feet squared.

What is the area of a trapezoid?

A trapezoid is a quadrilateral with parallel opposite sides and a height.

Mathematically, the area of a trapezoid can be calculated by using the expression:

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(a+b)\times h}[/tex]

where:

  • a and b =the two parallel sides of the trapezoid
  • h = height

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(8.5+5.5)\times 6.5}[/tex]

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(14)\times 6.5}[/tex]

[tex]\mathbf{Area \ of\ a \ trapezoid = 45.5 \ ft^2}[/tex]

Learn more about calculating the area of a trapezoid here:

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