SOLUTION: The base of a triangle is 4 inches more than 4 times the height. If the area is 40 square inches, find the base and the height.

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Question 1192873: The base of a triangle is 4 inches more than 4 times the height. If the area is 40
square inches, find the base and the height.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the area is A=%281%2F2%29b%2Ah where b is the base and h is the height
if the base of a triangle is 4 inches more than+4 times the height, we have
b=4h%2B4
and if the area is 40in%5E2, we have
40=%281%2F2%29%284h%2B4%29%2Ah
80=%284h%2B4%29%2Ah
80=4h%5E2%2B4h......simplify
20=h%5E2%2Bh
0=h%5E2%2Bh-20
0+=+%28h+-+4%29+%28h+%2B+5%29
we need only positive solution: h=4
then b=4%2A4%2B4->b=20