Help me solve this

Question

A​ 1275-square foot garden is in the shape of a triangle such that its base is 1 foot longer than twice its​ height, h. If we wish to find the base of the​ triangle, why is solving for the variable h not​ enough?

A.) The variable h represents the perimeter of the triangle but the questions asks for the base

B.) The variable h represents the height of the triangle but the questions asks for the base

C.) The variable h represents the base of the triangle but the questions asks for the height

D.) The variable h represents the area of the triangle but the questions asks for the height of the support

Answer 1

B is correcct, h=height, b= base

b =1 + 2h

2h = b-1

h = (b-1)/2

for a triangle

bh/2 =Area = 1275

bh = 2550

b(b-1)/2 = 2550

b^2 -b = 5100

b^2 -b + 1/4 = 5100+1/4 = 5100.25

b-1/2 = sqr5100.25

b= .5 + sqr5100.25 = about 71.92 feet

h= (b-1)/2 = 70.92/2 = 35.46 feet