Answer:
x = 3
Step-by-step explanation:
The area of a rectangle is length*width, while for a rectangle it is the length*width over two. Now lets substitute the values given.
3(x+12) = 3x+36 = Area of rectangle
5(2x)/2 = 10x/2 = 5x = Area of triangle
We know that the area of the rectangle is 3 times the area of the triangle, so 3x + 36 = 3(5x) --> 3x+36 = 15x
This gives basic linear equation of 3x + 36 = 15x to solve. Isolate x and solve:
36 = 12x
x = 3
