Atriangular banner has an area of 351cm2. the length of the base is two centimeters longer than four times the height. find the height and length of the base.

h = 13cm and b= 54cm.

Step-by-step explanation:

We have that the area and the base is two centimeters longer than four times the height, that is

where b is the base and h the height. Now, the area is

.

Now, we are going to use the general formula to solve quadratic ecuations:

where a=4, b= 2 and c= -702.

or

As we are searching for the lenght, we choose the positive result:

.