SOLUTION: The height of a triangle is 4m more than twice the length of the base. the area is 35m2. I know that A=1/2BH, but I just can't put it into an equation to work it.

Question 31270: The height of a triangle is 4m more than twice the length of the base. the area is 35m2. I know that A=1/2BH, but I just can't put it into an equation to work it.
Answer by troyapplehelen(46) (Show Source): You can put this solution on YOUR website!
1. h=2b+4, and A=(1/2)b.h
=(1/2)b(2b+4)=35
A is (b^2)+(4b)=70
2(b^2) + 4b -70 =0
=b^2 +2b -35 =0
(b+7)(b-5) = 0 so, b is -7 or 5 but -7 is not exist in
length so we chose b=5 only.
then, ur area 35 = (1/2)5.14 works.
RELATED QUESTIONS
I need help with this word problem! The question is The area of a triangle is 30 in... (answered by Fombitz)

The height of triangle is 4m more than twice the length of the base. The area of the... (answered by josgarithmetic)

What is the length of the base (b) of any triangle with area A and height h... (answered by Alan3354)

have an equilateral triangle with sides of 13 in. How do I find the area? I know... (answered by Edwin McCravy)

The area of a triangular poster is 84 square feet. Its height is 2 feet shorter than the (answered by nerdybill)

The height of a triangle is 2 units more than its base. If the base is increased by 4... (answered by lwsshak3)

The height of a triangle is 4 m more than twice the length of the base. The area is 15m2. (answered by algebrahouse.com)

the height of a triangle is one inch greater than 3 times its base. the area of the... (answered by nyc_function)

[ The height of a triangle is 4 inches more than twice the length of the base. The area... (answered by TimothyLamb)