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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
b, base
h, height
A, area of triangle
A=%281%2F2%29bh

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

4h%2B14=b
4h=b-14
h=%28b-14%29%2F4
-
%281%2F2%29b%28%28b-14%29%2F4%29=A
Solve for b;
substitute for A and evaluate b.

Answer by MathTherapy(10552) About Me  (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: %281%2F2%29H%284H+%2B+14%29+=+60

%28H%284H+%2B+14%29%29%2F2+=+60

4H%5E2+%2B+14H+=+120} ----- Cross-multiplying

4H%5E2+%2B+14H+-+120+=+0

2%282H%5E2+%2B+7H+-+60%29+=+2%280%29  

2H%5E2+%2B+7H+-+60+=+0

(H - 4)(2H + 15) = 0

H, or height = highlight_green%284%29 inches               OR              H+=+-+15%2F2 (ignore)

Base-length: 4(4) + 14, or 16 + 14, or highlight_green%2830%29 inches