### Home > MC2 > Chapter 6 > Lesson 6.1.2 > Problem6-18

6-18.

A triangle has a base that is two more than three times the length of its height. The area of the triangle is $400$ square cm. What are the base and height of the triangle?

Refer to problem 4-47 and use a method similar to the
5-D process to create an expression for the area of the triangle. Draw a diagram.

Based on the information from the problem, first define the height and base of the triangle with a variable.
Height: $x$
Base: $2 + 3x$

Since you know the area of a triangle, $A = \frac{1}{2}\text{base(height),}$ construct a 5-D chart to run trials and solve for $x$.