Answer:
base length = 19 cm , height = 12 cm
Step-by-step explanation:
Area formula : A = (1/2)*b*h
b = h + 7 cm
A = 114 sq. cm
114 = (1/2) * (h + 7) *h
228 = hh + 7h
hh + 7h - 228 = 0
h = -7/2 + root( 49 - 4*(-228)) /2
h = -7/2 + 31/2
h = 24/2 = 12 cm
base = 12 cm + 7 cm = 19 cm