Is this right? If the height, n, of a trapezoid equals the length of its shorter base and the longer base is?

Question

twice the shorter base, then the area of the trapezoid is 2n?

Answer 1

Hi,

The formula for the area of a trapezoid is:
A = ½h(b1 + b2)

If the height and one base = n and the second base is twice as much, 2n, then:
A = ½n(n + 2n)
A = ½n(3n)
A = 3/2n² <== This is your area.

I hope that helps!! :-)

Answer 2

Let's see...height = n, b1 = n, b2 = 2n...

Area of a trapezoid is 1/2 (h)(b1+b2)
A = 1/2 (n) (n + 2n)
A = 1/2 (n)(3n)
A = 3/2n^2.

Not quite what you were looking for.

Answer 3

A = (n+2n)n/2 = 3n^2/2
So answer is NO