SOLUTION: 1.the area of a triangle garden is 24ft^2. The base is trice the height. Find the base and the height of the triangle. 2.The height of a triangle is 2inch less than 3times the bas

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: 1.the area of a triangle garden is 24ft^2. The base is trice the height. Find the base and the height of the triangle. 2.The height of a triangle is 2inch less than 3times the bas      Log On

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Question 1144202: 1.the area of a triangle garden is 24ft^2. The base is trice the height. Find the base and the height of the triangle.
2.The height of a triangle is 2inch less than 3times the base. If the area is 48inch^2. Find the base and height of the triangle.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

I will solve #1 only. 


Let x be the height, in feet.

Then the base is 3x ft, according to the condition.


The area is  


     area = %281%2F2%29%2Ax%2A%283x%29 = 24 square feet,   or


     3x^2 = 2*24 = 48,

      x^2        = 48/3 = 16

      x = sqrt%2816%29 = 4.


ANSWER.  The height is 4 ft;  the base is 3*4 = 12 ft.

Solved.