Question

The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. If the base of the triangle is x feet, which equation models this situation?

A. 6x^2+x-12=0
B. 6x^2+x-13=0
C. 6x^2+x-26=0
D. 36x^2+6x-26=0

Answer 1

@baru

Answer 2

u know formula for area of a triangle?

Answer 3

A=h*b

Answer 4

\[ area=\frac{1}{2}bh\]

Answer 5

alright

Answer 6

whats next

Answer 7

ok,
the question says area is 13 and that base is 'x'

can you plug this information into the formula for area?

Answer 8

a=13x?

Answer 9

b?

Answer 10

no

Answer 11

a=1/2(13+x) ?

Answer 12

area=13
base=b=x

Answer 13

ok

Answer 14

so it's not b?

Answer 15

nah man...i cant just give you the final answer ;)

Answer 16

x the Base. h is (6x+1)

A =(1/2)bh = (1/2)x(6x+1)

.......

Answer 17

(1/2)x(6x+1) = 13 ft^2

x(6x+1) = 26

6x^2 + x - 26 = 0 (tossing out negative solution for unit measure)

(6x + 13)(x - 2)= 0

x = 2ft, the Base. and h = 13ft

Answer 18

And...checking

(1/2)2ft•13ft = 13ft^2