Question

A trapezoid has height h. One base is 2 units longer than the height. The other base is 3 times the height. Write a polynomial for the area of the trapezoid.

Answer 1

The polynomial for the area of a trapezoid with height h, one base 2 units longer than the height, and the other base 3 times the height is 2h² + h.

Step-by-step explanation:

Given a trapezoid with height h, one base being 2 units longer than the height, and the other base being 3 times the height, we can write the formula for the area of a trapezoid as:
Area = (1/2) × (base1 + base2) × height. To find the polynomial representing the area, let's substitute the expressions for the bases in terms of h:
Base1 = h + 2 and Base2 = 3h. The formula for the area becomes A = (1/2) × ((h + 2) + 3h) × h. Simplifying this expression, we get:
A = (1/2) × (4h + 2) × h
A = 2h² + h.
So, the polynomial for the area of the trapezoid in terms of its height h is 2h² + h.

Answer 2

1/2 h [(h+2)+3h] the 1/2 is one-half i just dont know how to type that on here