Respuesta :
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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