The area of a triangle varies jointly with the height of the triangle and the length of its base. The area of one triangle is 150 square centimeters when its height is 20 centimeters and its base length is 15 centimeters. What is the area of a triangle having a height of 30 centimeters and a base length of 18 centimeters?


A) 300 square centimeters
B) 270 square centimeters
C) 540 square centimeters
D) 1080 square centimeters

1 answer

To find the area of the triangle with a height of 30 centimeters and a base length of 18 centimeters, we can set up a proportion based on the information given for the first triangle:

150/20 x 15 = x/30 x 18

Solving for x:

150/20 x 15 = x/30 x 18
x = (150/20 x 15 x 30)/18
x = 300

Therefore, the area of the triangle with a height of 30 centimeters and a base length of 18 centimeters is 300 square centimeters, which is option A.