^{2}

Trapezoid 12 meters on top

8meter on bottom

10 meter on both sides

height is 8 meter

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

A = ( 8 +10) 8/2 = 72 m^{2}

P = 2*10 + 8 +10 = 38 m

To find the perimeter, you must add the measurements of all the sides together.

P = 12 + 8 + 10 + 10

P = 40 m (don't forget your units)

To find the area, use the formula for the area of a trapezoid which is A= 1/2 h (b_{1
}+ b_{2})

A is area

h is height

b_{1 }is the length of one base

b_{2} is the length of the other base

A = 1/2 (8)(12 + 8)

= 1/2 (8)(20)

= 80 m^{2 }remember to put your units which are m^{2} because we are measuring area

The formula for the area of a trapezoid is:

A = (1/2)(b_{1} + b_{2}) * h

Here's what that means: for parallelograms (including rhombuses, squares, and rectangles), the area is just base times height. But for a *trapezoid*, there are *two* bases. So, we find the *average* of the two bases and then multiply that by the height. Thus, we add the two bases together, divide by two (which is the same as multiplying by 1/2), and multiply by the height.

For your problem, one base is 12 meters, the other is 8 meters, and the height is 8 meters. Now we can plug those numbers into our formula:

A = (1/2)(b_{1} + b_{2}) * h

= (1/2)(12m + 8m) * (8m)

= (1/2)(20m) * (8m)

= (10m) * (8m)

= 80 m^{2}

So, the area of your trapezoid is eighty square meters! Now you can find the area of *any* trapezoid!

As for the perimeter, that is always the sum of all the side lengths, no matter how many sides a shape has or how they are put together. For this trapezoid, the height isn't actually a side (I'm sure you can see this in the picture), so we don't add that to the four sides.

P = 12m + 8m + 10m + 10m

= 20m + 20m

= 40m

The perimeter of your trapezoid is forty meters, and you can now find the perimeter of *any shape*!

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