SOLUTION: the sail on the boat is in the shape of a triangle. if the height is 5 times the length of base and the area is 90 square feet, find the dimensions of the sail.

Algebra.Com
Question 1026907: the sail on the boat is in the shape of a triangle. if the height is 5 times the length of base and the area is 90 square feet, find the dimensions of the sail.
Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Hi there,
Area of triangle = 1/2(base x height)
Make base = x
Height = 5x
Area = 1/2(base x height)
90 = 1/2(x * 5x) (* times)
90 = 1/2(5x^2)
90 = 5x^2/2
Multiply both sides by 2
5x^2 = 180
x^2 = 180/5
x^2 = 36
x = 6
Base = 6m
Height = 30m
Hope this helps :-)

RELATED QUESTIONS

The sail on a sail boat is in the shape of a triangle. If the height of the sail is 3... (answered by josgarithmetic)
the sail on a sailboat is in the shape of a triangle. if the height of the sail is 5... (answered by texttutoring)
The sail on a sailboat is in the shape of a triangle. If the height of the sail is 3... (answered by jorel1380)
The sail on a sailboat is shaped like a triangle, with an area of 52 square feet. The... (answered by jorel1380)
the area of a triangular sail for a boat is 160 square feet. if the base of the sail is... (answered by harpazo)
The area of a triangular sail for a boat is 85 square feet. If the base of the sail is 10 (answered by Fombitz)
A sail is in the shape of a triangle. If the sail is 12 feet high and has an area of 60... (answered by Alan3354)
the height of a triangular sail is 6 yards less than twice the length of its base. if the (answered by KMST)
the height of a triangle is 2 meters less than twice the length of the base. if the sail... (answered by Boreal)