SOLUTION: The base of a triangle is 4 inches more than 4 times the height. If the area of the triangle is 84 square inches, find the base and height

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Question 713975: The base of a triangle is 4 inches more than 4 times the height. If the area of the triangle is 84 square inches, find the base and height
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Area for triangle: %281%2F2%29bh, where b is base, h is height.

84=%281%2F2%29bh
and
b=4h

Substitute b into the area equation.
84=%281%2F2%29%284h%29h
84=%281%2F2%294h%5E2
84=2h%5E2
42=h%5E2
ANSWER: highlight%28h=sqrt%2842%29%29, highlight%28b=4sqrt%2842%29%29
h=sqrt(2*3*7), not simplifiable further.