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The owner of a miniature golf course asks you to design the shape of a green section. However, she has several requirements, based on the other green sections on the golf course, for the green section that she designs. Requirements for your green section: - The green section must have the shape of a right triangle. - The maximum area of the green stretch is 54 square feet. - The ratio of one leg of the right triangle to the other leg of the right triangle must be 4: 3.



1. Create an inequality to describe the possible values for the total area, A, in square feet of your green section.


2. Create an equation that describes the length of the first leg of right triangle, F, in terms of the length of the second right triangle, S. Then explain how you determined this equation. Y


Sagot :

An inequality to describe the possible values for the total area is 0.5 * F * S ≤ 54, while the equation that describes the length of the first leg in terms of the second right triangle is F = 4/3S

The inequality of the possible area?

Represent the first leg with F, and the second with S.

So, we have:

Area = 0.5 * F * S

The maximum area of the course is given as 54.

So, the equation becomes

0.5 * F * S ≤ 54

The equation that relates F and S

The ratio is given as:

F : S = 4 : 3

Express as equation

F/S = 4/3

Multiply both sides by S

F = 4/3S

Hence, the equation is F = 4/3S

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