area of triangle = (b × h) ÷ 2
where b is the base so (g - 8)m,
h is the height so (g - 11)m
and area is 35
35 = (g - 11) × (g - 8) /2
35 = g² - 19g + 88 / 2
35 = 1/2g² - 19/2g + 44
1/2g² - 19/2g + 9 = 0
use the quadratic formula to find the two values of g and you will get:
g = 18 and g = 1
if we use g as 1 we will get negative metres for the values for the base and height so we use g = 18 instead!
base = (18) - 8
= 10m
height = (18) - 11
= 7m