Solve the problem.
-A parallelogram has a base of length 2x + 1 and a height of x + 3 and has an area of 42 square units. Find the base and height of the parallelogram. (A = bh)
A) height = 3 units; base = 14 units
B) height = 14 units; base = 3 units
C) height = 6 units; base = 7 units
D) height = 7 units; base = 6 units

Question

Quizplus · Accepted Answer

The area of a parallelogram is given by the formula A = bh, where b is the base and h is the height. Substituting the given values, we get 42 = (2x + 1)(x + 3). Expanding and solving this quadratic equation, we find that x = 3. Substituting x = 3 back into the expressions for the base and height, we get a base of 7 units and a height of 6 units.

Solve the Problem. -A Parallelogram Has a Base of Length 2x + 1