Answer:
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.
