Problema Solution

The base of a triangle garden is 7 yards longer than the height, and the area of the garden is 114 square yards. Find the dimensions of the triangle.

Answer provided by our tutors

Let


x = the length of the base

h = the length of the base

Area = 114 yd^2


the base of a triangle garden is 7 yards longer than the height


x = h + 7


Area = (x*h)/2


(x*h)/2 = 114


by solving the system of equations


x = h + 7

(x*h)/2 = 114


we find


x = 19 yd


h = 12 yd


the base is 19 yd and the heights is 12 yd.