Question

The base of a triangular field is three times its height. If the cost of cultivating the feild at $36 per hectare is $486, find its base and height.
Please explain also​

Answer 1

Answer:

Formula of the area of triangle = 1/2 × b × h (where 'b' is the base and 'h' is the height)

1 hectare = $36

$486 = 13.5 hectares

13.5 hectares = 1/2 × b × h

To get b × h, you use the reverse of the formula. Hence:

13.5 = 1/2 × b × h

13.5 ÷ 1/2 = b × h

               = 27

27 is b × h.

The question states that the base is three times the height. Hence:

b = 3u

h = 1u

b × h = 27

        = 3u × 1u

Thus, we need to find one value which is three times the other, in order to get a product of 27.

Factors of 27:

1 × 27

3 × 9

9 is three times of 3. Thus, the base is 9, while the height is 3.