Aschool is painting its logo in the shape of a triangle in the middle of its sports field. the school wants the height of the triangle to be 6 feet. the area of the logo must be at most 15 square feet. write an inequality that describes the possible base lengths (in feet) of the triangle.

Step-by-step explanation:

We know that the area of a triangle is given by :-

Let b be the base (in feet)  of the triangle .

it is given that  , The school wants the height of the triangle to be 6 feet.

Then, the area of triangle will be :-

           (1)

The area of the logo must be at most (less than or equal to) 15 square feet.

i.e. Area ≤ 15 square feet         (2)

Now, Substitute the value of A from (1) into (2) , we get

Divide both sides by 3  , we get

Hence, the inequality that describes the possible base lengths (in feet) of the triangle :

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step-by-step explanation:

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