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sergeinik [125]
2 years ago
5

The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the The area of the sail is 68 square fe

et, find its height and the length of the base.
Mathematics
1 answer:
Dima020 [189]2 years ago
3 0

Step-by-step explanation:

It is given that,

The height of the sail on a boat is 7 feet less than 3 times the length of its base.

Let the length of the base is x.

ATQ,

Height = (3x-7)

Area of the sail is 68 square feet.

Formula for area is given by :

A=lb\\\\68=x(3x-7)\\\\3x^2-7x=68\\\\3x^2-7x-68=0

x = 8 feet and x = -3.73 feet

So, length is 8 feet

Height is 3(8)-7 = 17 feet.

So, its height and the length of the base is 17 feet and 8 feet respectively.

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