The base of a triangular field is 3 times its height. If the cost of c

1.	The base of a triangular field is 3 times its height. If the cost of cultivating the field atthe rate of 25 per 100 m2 is 60000, find its base and height.
Answer» Let height = x, then base = 3x and area = 1/2 x3x=3/2x^2 m2. Cost per m2 is = 25/100= 1/4. Cost for 3/2x^2 is = 1/43/2x^2 which is equal to 60000. Solving x =400. Height is 400, base is 1200.

The base of a triangular field is 3 times its height. If the cost of cultivating the field atthe rate of 25 per 100 m2 is 60000, find its base and height.

Answer»

Let height = x, then base = 3x and area = 1/2 *x*3x=3/2*x^2 m2.

Cost per m2 is = 25/100= 1/4.

Cost for 3/2*x^2 is = 1/4*3/2*x^2 which is equal to 60000.

Solving x =400.

Height is 400, base is 1200.