SOLUTION: The base of a triangle is 14 inches more than 4 times the height. If the area is 60 square inches, find the base and the height

Question 916880: The base of a triangle is 14 inches more than 4 times the height. If the area is 60 square inches, find the base and the height
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
b, base
h, height
A, area of triangle

Description means, b=14+4h, and A=60.

-

Solve for b;
substitute for A and evaluate b.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

The base of a triangle is 14 inches more than 4 times the height. If the area is 60 square inches, find the base and the height

Let height be H
Then base-length = 4H + 14
Since area = 60, then we can say that:

} ----- Cross-multiplying

(H - 4)(2H + 15) = 0
H, or height = inches OR (ignore)
Base-length: 4(4) + 14, or 16 + 14, or inches
RELATED QUESTIONS
The base of a triangle is 4 inches more than 4 times the height. If the area is 40... (answered by MathLover1)
The base of a triangle is 4 inches more than 2 times the height. If the area is (answered by MathLover1)
The base of a triangle is 2 inches more than 3 times the height. If the area is 8... (answered by waynest)
The base of a triangle is 12 inches more than 4 times the height. If the area is 36... (answered by checkley71)
The base of a triangle is 10 inches more than 2 times the height. If the area of the... (answered by stanbon)
The base of a triangle is 4 inches more than 4 times the height. If the area of the... (answered by josgarithmetic)
The base of a triangle is 3 inches more than 4 times the height. If the area of the... (answered by lwsshak3)
The base of a triangle is 8 inches more than 4 times the height. If the area of the... (answered by Alan3354)
[ The height of a triangle is 4 inches more than twice the length of the base. The area... (answered by TimothyLamb)