Question

A triangle has a height of 2x+5 centimeters and a base of 3x-1 centimeters. The area of the triangle is 38 square centimeters. What is the equation that represents the value of x?

a) 2x + 5 = 38
b) 3x - 1 = 38
c) (2x + 5)(3x - 1) = 38
d) (2x + 5)/2 = 38

Answer 1

The equation that represents the value of x is (2x + 5)(3x - 1) = 38.

Step-by-step explanation:

The equation that represents the value of x is c) (2x + 5)(3x - 1) = 38.

To find the equation that represents the value of x, we need to use the formula for the area of a triangle, which is 1/2 x base x height. Substituting the given values, we have 1/2 x (3x - 1) x (2x + 5) = 38. Simplifying this equation gives us (2x + 5)(3x - 1) = 38.