One base of a trapezoid is 4 in more than twice the length of the second base. The height of the trapezoid is 2 in less than the second base. If the area of the trapezoid is 4 in^2, find the dimensions of the trapezoid.

Step-by-step explanation:

Let us represent

1st base of trapezoid = a

2nd bass of trapezoid = b

Height of trapezoid = c

One base of a trapezoid is 4 in more than twice the length of the second base.

a = 2b

The height of the trapezoid is 2 in less than the second base.

h = b - 2

Area of a trapezoid = 1/2(a + b)h

If the area of the trapezoid is 4 in^2

Substituting

4 = 1/2(2b + b)b - 2

4 = 1/2(3b)b - 2

Cross Multiples

4 × 2 = (3b)b - 2

6 = 3b² - 6b

Hence,

3b² - 6b - 6

find the dimensions of the trapezoid.

the radius is 2 times the diameter.

step-by-step explanation:

the answer is 8/21

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