Question 848199
A = 1/2 * B * H

33 = 1/2 * B * H

B = H + 5

33 = (1/2)* (H+5) * H  (don't like fractions, multiply by 2)

66 = (H+5)*H

66 = H^2 + 5H

H^2 +5H - 66 = 0

(H+11)(H-6) = 0 

H = -11  H = 6   <- we can't have a negative height, so h = 6

Then B = 6 + 5 = 11


The height is 6 cm.

The base is 11 cm.