the height of a triangle is 4 feet greater than 4 times its base. if the area of the triengle is 84ft^2, what is the height of t
he triangle?
1 answer:
Given: Area of triangle =84 square feet
height= 4 feet greater than 4 times its base
h=4b +4
Area of triangle= 1/2 ( b) (h)
plugging for area and height
84=1/2 ( b)* (4b+4)
168=4b² +4b
4b²+4b-168=0
taking out 4 common as gcf
b²+b-42=0
factorising we get
(b+7)(b-6)=0
b=6, -7
since length cannot be negative so base =6feet
height= 4b+4 = 24+4=28 feet
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