Question

the area of a sail is 40 1/2 square feet. the base and height of the sail are equal. what is the height pf the sail (in feet)?

Answers

Answered by GPT 3.5
Let's assume the height of the sail is h feet. Since the base and height of the sail are equal, the base of the sail is also h feet.

The area of the sail is given by the formula: Area = base * height

So, we can write the equation as: 40 1/2 = h * h

To simplify, we convert 40 1/2 to an improper fraction: 40 1/2 = 81/2

Now, our equation becomes: 81/2 = h * h

Multiplying both sides by 2 to get rid of the fraction, we have: 81 = 2h * 2h

Simplifying, we get: 81 = 4h^2

Dividing both sides by 4, we have: 81/4 = h^2

Taking the square root of both sides, we get: √(81/4) = h

Simplifying, we get: 9/2 = h

Therefore, the height of the sail is 9/2 feet.
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