Question

What is the area of a Trapazoid?

Answer 1

Area of a trapezoid

We know that a trapezoid is a quadrilateral with a pair of parallel sides:

it has a height:

In order to find its area we follow the equation:

`(a+b)/(2)\cdot h`

Step 1: adding the parallel sides

In this case the parallel sides are:

a = 17 ft

b = 39 ft

a + b = 56 ft

Step 2: dividing the result by two

We have that

`(a+b)/(2)=(56ft)/(2)=28ft`

Step 3: multiplying by the height

In this case the height is

h = 16 ft

then

`(a+b)/(2)\cdot h=28ft\cdot16ft=448ft^2`

Then, in this case the area is:

area = 448 ft²